Pith Number

pith:53KY336P

pith:2016:53KY336PPS64FUM3HQBNFRJU22

not attested not anchored not stored refs pending

A tour about existence and uniqueness of dg enhancements and lifts

Alberto Canonaco, Paolo Stellari

arxiv:1605.00490 v3 · 2016-05-02 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53KY336PPS64FUM3HQBNFRJU22}

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	2026-05-17T23:52:19.239869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed58defcf7cbdc2d19b3c02d2c534d6804948452b89437406da5288bb6a6be6

Aliases

arxiv: 1605.00490 · arxiv_version: 1605.00490v3 · doi: 10.48550/arxiv.1605.00490 · pith_short_12: 53KY336PPS64 · pith_short_16: 53KY336PPS64FUM3 · pith_short_8: 53KY336P

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/53KY336PPS64FUM3HQBNFRJU22 \
  | 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: eed58defcf7cbdc2d19b3c02d2c534d6804948452b89437406da5288bb6a6be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0d66f0f17cd5c550b1f4007a084b63421dc8752ca82f35767c3132c34d531d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-02T13:56:26Z",
    "title_canon_sha256": "8bf4b8962cc4f6780164b1a2f93e543e50dcdd2d42166e016f5ec926b92f9719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00490",
    "kind": "arxiv",
    "version": 3
  }
}