Pith Number

pith:YQMUY7FA

pith:2017:YQMUY7FADPULTBRBBY3BLTXY5I

not attested not anchored not stored refs pending

The vanishing cycles of curves in toric surfaces I

Lionel Lang, R\'emi Cr\'etois

arxiv:1701.00608 v2 · 2017-01-03 · 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{YQMUY7FADPULTBRBBY3BLTXY5I}

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	2026-05-17T23:51:20.200433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4194c7ca01be8b986210e3615cef8ea04ab43f982bfcdf29d7ee4fd8b6f4e7f

Aliases

arxiv: 1701.00608 · arxiv_version: 1701.00608v2 · doi: 10.48550/arxiv.1701.00608 · pith_short_12: YQMUY7FADPUL · pith_short_16: YQMUY7FADPULTBRB · pith_short_8: YQMUY7FA

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/YQMUY7FADPULTBRBBY3BLTXY5I \
  | 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: c4194c7ca01be8b986210e3615cef8ea04ab43f982bfcdf29d7ee4fd8b6f4e7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4ade82d939e151ac67b5d9a5954862a84cf2733f8fabcdf53dde151d7966ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-03T09:16:12Z",
    "title_canon_sha256": "601097d649c25747afd6bb214526b502a22936fc3c4c8099728a49d0c2ac4f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00608",
    "kind": "arxiv",
    "version": 2
  }
}