Pith Number

pith:HOA5WBPJ

pith:2014:HOA5WBPJHKZYXXE2LKZLN5DZTV

not attested not anchored not stored refs pending

Legendrian knots and constructible sheaves

David Treumann, Eric Zaslow, Vivek Shende

arxiv:1402.0490 v2 · 2014-02-03 · math.SG · math.AG · 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{HOA5WBPJHKZYXXE2LKZLN5DZTV}

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	2026-05-18T01:00:54.227841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b81db05e93ab38bdc9a5ab2b6f4799d716fdba49a17e3600f297b82f557e73d

Aliases

arxiv: 1402.0490 · arxiv_version: 1402.0490v2 · doi: 10.48550/arxiv.1402.0490 · pith_short_12: HOA5WBPJHKZY · pith_short_16: HOA5WBPJHKZYXXE2 · pith_short_8: HOA5WBPJ

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/HOA5WBPJHKZYXXE2LKZLN5DZTV \
  | 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: 3b81db05e93ab38bdc9a5ab2b6f4799d716fdba49a17e3600f297b82f557e73d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8628e116d7ba0abdc7665ea025c34818b7969838432755f7eaedc44166268aa",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-02-03T20:45:46Z",
    "title_canon_sha256": "e14e06b47059697e8c70654f9ba35e59cff824e1e85d1835efbc16436e1adab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0490",
    "kind": "arxiv",
    "version": 2
  }
}