Pith Number

pith:5G7OZJQB

pith:2016:5G7OZJQBCBQXQSLZM4BKEHEB7E

not attested not anchored not stored refs pending

Generalizations of intersection homology and perverse sheaves with duality over the integers

Greg Friedman

arxiv:1612.09353 v3 · 2016-12-30 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5G7OZJQBCBQXQSLZM4BKEHEB7E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Integral Perverse Obstructions for Normal Surface Singularities: Resolution Determinants and Monodromy

Torsion Trajectories from Local Discriminants to Global Obstructions

From Diaz's Enriques Product to an $n$-Fold Cup-Product Bockstein Family of Integral Hodge Counterexamples

Receipt and verification

First computed	2026-05-17T23:43:09.652894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9beeca60110617849796702a21c81f9224605243cbdb49e4344ca52b06c2593

Aliases

arxiv: 1612.09353 · arxiv_version: 1612.09353v3 · doi: 10.48550/arxiv.1612.09353 · pith_short_12: 5G7OZJQBCBQX · pith_short_16: 5G7OZJQBCBQXQSLZ · pith_short_8: 5G7OZJQB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5G7OZJQBCBQXQSLZM4BKEHEB7E \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e9beeca60110617849796702a21c81f9224605243cbdb49e4344ca52b06c2593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8112093c3272a887199e39c86b50351087429bc1a51bb8b7a6790e78550316ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-30T00:16:36Z",
    "title_canon_sha256": "ffdc385fff844533fa4cd835870d2005f7cbccbc9f897b1cb3b1c63bc1d69d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09353",
    "kind": "arxiv",
    "version": 3
  }
}