Pith Number

pith:BX5BHTMV

pith:2012:BX5BHTMVINUCTY3P2KSGDHYKS7

not attested not anchored not stored refs pending

Boundaries of cycle spaces and degenerating Hodge structures

Tatsuki Hayama

arxiv:1203.6770 v3 · 2012-03-30 · 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{BX5BHTMVINUCTY3P2KSGDHYKS7}

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	2026-05-18T02:29:53.426546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dfa13cd95436829e36fd2a4619f0a97c2f3c4e7be56ec7169bec90fcf71f832

Aliases

arxiv: 1203.6770 · arxiv_version: 1203.6770v3 · doi: 10.48550/arxiv.1203.6770 · pith_short_12: BX5BHTMVINUC · pith_short_16: BX5BHTMVINUCTY3P · pith_short_8: BX5BHTMV

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/BX5BHTMVINUCTY3P2KSGDHYKS7 \
  | 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: 0dfa13cd95436829e36fd2a4619f0a97c2f3c4e7be56ec7169bec90fcf71f832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1aaa222444a9be0c74d9fd505e6360296a89dc2ea5183313c2379c1c4fd6bfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-30T11:24:02Z",
    "title_canon_sha256": "4313438ec4dfc39c390d6773853de8ac3d37e98b1278a4d9b0906b44a5e51c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6770",
    "kind": "arxiv",
    "version": 3
  }
}