Pith Number

pith:VVGGX2PA

pith:2014:VVGGX2PAMERT5LHYLVIJIV7URZ

not attested not anchored not stored refs pending

Normal Crossings Singularities for Symplectic Topology

Aleksey Zinger, Mark McLean, Mohammad Farajzadeh Tehrani

arxiv:1410.0609 v3 · 2014-10-02 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVGGX2PAMERT5LHYLVIJIV7URZ}

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	2026-05-18T00:44:46.275157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4c6be9e061233eacf85d509457f48e7485c1fe64c5df323ef630921d4e9352

Aliases

arxiv: 1410.0609 · arxiv_version: 1410.0609v3 · doi: 10.48550/arxiv.1410.0609 · pith_short_12: VVGGX2PAMERT · pith_short_16: VVGGX2PAMERT5LHY · pith_short_8: VVGGX2PA

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/VVGGX2PAMERT5LHYLVIJIV7URZ \
  | 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: ad4c6be9e061233eacf85d509457f48e7485c1fe64c5df323ef630921d4e9352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42e2edd79297e26a8c7371c3712f68be76a5420d45845cbdf75b2cb77dd1f0c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-10-02T17:14:12Z",
    "title_canon_sha256": "0e58879ea63f1dd03ccd3d1036194510349539b9661ce90589718fb9a31f3bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0609",
    "kind": "arxiv",
    "version": 3
  }
}