Pith Number

pith:BXT4HSDT

pith:2011:BXT4HSDTFG76OMKGQ2AYBEX5B2

not attested not anchored not stored refs pending

Analyticity of the closures of some Hodge theoretic subspaces

Chikara Nakayama, Kazuya Kato, Sampei Usui

arxiv:1102.3528 v1 · 2011-02-17 · 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{BXT4HSDTFG76OMKGQ2AYBEX5B2}

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	2026-05-18T04:28:28.888459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de7c3c87329bfe7314686818092fd0e837a8e1c921bd0927df6f4339df7dd91

Aliases

arxiv: 1102.3528 · arxiv_version: 1102.3528v1 · doi: 10.48550/arxiv.1102.3528 · pith_short_12: BXT4HSDTFG76 · pith_short_16: BXT4HSDTFG76OMKG · pith_short_8: BXT4HSDT

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/BXT4HSDTFG76OMKGQ2AYBEX5B2 \
  | 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: 0de7c3c87329bfe7314686818092fd0e837a8e1c921bd0927df6f4339df7dd91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c04f4fcee8da3ae0dd18f72f3264913d70757ffb41606e9afb17faa50f9604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-17T09:03:17Z",
    "title_canon_sha256": "50107f021d1d54a6059ee777b042ebec48913ea99e269da3bd940730aea25ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3528",
    "kind": "arxiv",
    "version": 1
  }
}