Pith Number

pith:QICHUAGA

pith:2011:QICHUAGARQM7NNESF2GL3F6G6X

not attested not anchored not stored refs pending

A remark on vanishing cycles with two strata

David B. Massey, L\^e D\~ung Tr\'ang

arxiv:1108.3945 v1 · 2011-08-19 · 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{QICHUAGARQM7NNESF2GL3F6G6X}

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	2026-05-18T04:15:05.876737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82047a00c08c19f6b4922e8cbd97c6f5cd34edd169a0795633e32f82252395ec

Aliases

arxiv: 1108.3945 · arxiv_version: 1108.3945v1 · doi: 10.48550/arxiv.1108.3945 · pith_short_12: QICHUAGARQM7 · pith_short_16: QICHUAGARQM7NNES · pith_short_8: QICHUAGA

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/QICHUAGARQM7NNESF2GL3F6G6X \
  | 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: 82047a00c08c19f6b4922e8cbd97c6f5cd34edd169a0795633e32f82252395ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0003bbfde8a72f8d7d289dad79faec79e1f61ba47651abe5dbf2704cd3065954",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-19T11:51:09Z",
    "title_canon_sha256": "4d4d8861ffd1935faafad5c1d6a7a395312cfe467e83ead191a927e4ed29d4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3945",
    "kind": "arxiv",
    "version": 1
  }
}