Pith Number

pith:5X2XPKGI

pith:2015:5X2XPKGIIKH77XUY57PZUA5R3B

not attested not anchored not stored refs pending

Augmentations are Sheaves

Dan Rutherford, Eric Zaslow, Lenhard Ng, Steven Sivek, Vivek Shende

arxiv:1502.04939 v3 · 2015-02-17 · math.SG · 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{5X2XPKGIIKH77XUY57PZUA5R3B}

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

1 paper in Pith

Legendrian skein algebras and Hall algebras

Receipt and verification

First computed	2026-07-05T02:02:48.359222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf577a8c8428fffde98efdf9a03b1d851144dad3c6c265a879156b269256afe

Aliases

arxiv: 1502.04939 · arxiv_version: 1502.04939v3 · doi: 10.48550/arxiv.1502.04939 · pith_short_12: 5X2XPKGIIKH7 · pith_short_16: 5X2XPKGIIKH77XUY · pith_short_8: 5X2XPKGI

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/5X2XPKGIIKH77XUY57PZUA5R3B \
  | 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: edf577a8c8428fffde98efdf9a03b1d851144dad3c6c265a879156b269256afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45278bec91c4e6d5d94dffc021838146a422af6db5591bbb04e2e5661c92540",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-17T16:00:26Z",
    "title_canon_sha256": "749eb87d41d9c1ce97eab58b45ef7d5f7c9d1473da47d599ee242f305854e4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04939",
    "kind": "arxiv",
    "version": 3
  }
}