Pith Number

pith:3FZJQGRD

pith:2011:3FZJQGRDRH6YETTX7LBRZLTJZX

not attested not anchored not stored refs pending

Notes on Virtual Fundamental Classes

Yi Hu

arxiv:1103.5495 v2 · 2011-03-28 · 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{3FZJQGRDRH6YETTX7LBRZLTJZX}

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	2026-05-18T04:24:43.480996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d972981a2389fd824e77fac31cae69cdd5850ff6ae4fa094a9d3b45b7826bcfb

Aliases

arxiv: 1103.5495 · arxiv_version: 1103.5495v2 · doi: 10.48550/arxiv.1103.5495 · pith_short_12: 3FZJQGRDRH6Y · pith_short_16: 3FZJQGRDRH6YETTX · pith_short_8: 3FZJQGRD

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/3FZJQGRDRH6YETTX7LBRZLTJZX \
  | 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: d972981a2389fd824e77fac31cae69cdd5850ff6ae4fa094a9d3b45b7826bcfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f46fe3279885dfd839e6eca879eb2175c40b3e03ca49e17c93287e948055cdde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-28T21:53:37Z",
    "title_canon_sha256": "6afd620cad3b88c98caea14d073fcb6c6ab4b3f82128c76b413ab14488a38b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5495",
    "kind": "arxiv",
    "version": 2
  }
}