Pith Number

pith:A7O2WHHN

pith:2011:A7O2WHHNIS7OS4MQRCFAEQU6VW

not attested not anchored not stored refs pending

Homogeneous Fibrations over Curves

Yi Zhu

arxiv:1111.2963 v3 · 2011-11-12 · 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{A7O2WHHNIS7OS4MQRCFAEQU6VW}

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	2026-05-18T00:52:42.254468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ddab1ced44bee97190888a02429ead946ab0ba0c508f238b07d65c47ea1164

Aliases

arxiv: 1111.2963 · arxiv_version: 1111.2963v3 · doi: 10.48550/arxiv.1111.2963 · pith_short_12: A7O2WHHNIS7O · pith_short_16: A7O2WHHNIS7OS4MQ · pith_short_8: A7O2WHHN

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/A7O2WHHNIS7OS4MQRCFAEQU6VW \
  | 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: 07ddab1ced44bee97190888a02429ead946ab0ba0c508f238b07d65c47ea1164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60967f0acd8c24d61e2e06bae443ac231cda559fca63ffd4f65a2cf04da52d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-12T20:37:11Z",
    "title_canon_sha256": "b0b410cf869d46c0fde3b4f225ad3aabf52e15e2df94db482a073f57d5506ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2963",
    "kind": "arxiv",
    "version": 3
  }
}