Pith Number

pith:V5FL4N6I

pith:2017:V5FL4N6ILL5UWDANA3277DALIF

not attested not anchored not stored refs pending

Hom and Ext, Revisited

Hailong Dao, Justin Lyle, Mohammad Eghbali

arxiv:1710.05123 v4 · 2017-10-14 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5FL4N6ILL5UWDANA3277DALIF}

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.

Receipt and verification

First computed	2026-05-18T00:31:24.655478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4abe37c85afb4b0c0d06f5ff8c0b4165f1f8672deecc0eaab887678dbfd818

Aliases

arxiv: 1710.05123 · arxiv_version: 1710.05123v4 · doi: 10.48550/arxiv.1710.05123 · pith_short_12: V5FL4N6ILL5U · pith_short_16: V5FL4N6ILL5UWDAN · pith_short_8: V5FL4N6I

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/V5FL4N6ILL5UWDANA3277DALIF \
  | 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: af4abe37c85afb4b0c0d06f5ff8c0b4165f1f8672deecc0eaab887678dbfd818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8135f790bb1f7dc6e813ddd49b6091921a2ae303588cdf8840d85584c4e96a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-14T01:55:08Z",
    "title_canon_sha256": "86fbc21ed498fa72459e4f6f64c2ab6e2036834b85056986a094838f13628cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05123",
    "kind": "arxiv",
    "version": 4
  }
}