Pith Number

pith:Q6VMP56J

pith:2018:Q6VMP56JPZD6ITGRQPHCMANGMJ

not attested not anchored not stored refs pending

Geometric polarized log Hodge structures with a base of log rank one

Chikara Nakayama, Taro Fujisawa

arxiv:1811.08254 v1 · 2018-11-20 · 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{Q6VMP56JPZD6ITGRQPHCMANGMJ}

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	2026-05-18T00:00:16.427801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87aac7f7c97e47e44cd183ce2601a6626c93c96ae4bd498b69a93f39c5eaa8d1

Aliases

arxiv: 1811.08254 · arxiv_version: 1811.08254v1 · doi: 10.48550/arxiv.1811.08254 · pith_short_12: Q6VMP56JPZD6 · pith_short_16: Q6VMP56JPZD6ITGR · pith_short_8: Q6VMP56J

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/Q6VMP56JPZD6ITGRQPHCMANGMJ \
  | 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: 87aac7f7c97e47e44cd183ce2601a6626c93c96ae4bd498b69a93f39c5eaa8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee98a8e0b4dcefe27ae7d9939cc7b978bf9b575d463f333224d131ae7ed501fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-20T14:04:01Z",
    "title_canon_sha256": "15507a43707f23cc4d9cd304220ac79e293a645e3047ef5f777b306f803b650e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08254",
    "kind": "arxiv",
    "version": 1
  }
}