Pith Number

pith:HWUPMN7I

pith:2017:HWUPMN7IVVTKSRX4HDHKB3LBSE

not attested not anchored not stored refs pending

The vanishing cycles of curves in toric surfaces II

Lionel Lang, R\'emi Cr\'etois

arxiv:1706.07252 v2 · 2017-06-22 · math.GT · 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{HWUPMN7IVVTKSRX4HDHKB3LBSE}

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	2026-05-17T23:45:53.510017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da8f637e8ad66a946fc38cea0ed619103bd188677dd9ada35cf88bb4390430d

Aliases

arxiv: 1706.07252 · arxiv_version: 1706.07252v2 · doi: 10.48550/arxiv.1706.07252 · pith_short_12: HWUPMN7IVVTK · pith_short_16: HWUPMN7IVVTKSRX4 · pith_short_8: HWUPMN7I

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/HWUPMN7IVVTKSRX4HDHKB3LBSE \
  | 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: 3da8f637e8ad66a946fc38cea0ed619103bd188677dd9ada35cf88bb4390430d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c4c8beb2c647e5acb48b44d79945560cdb56e6fb10294b286e6778d25a3c35",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-22T11:07:14Z",
    "title_canon_sha256": "56f42404794423bfa98b29e94993ddd8cb501f6279acae07d767ae554167dc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07252",
    "kind": "arxiv",
    "version": 2
  }
}