Pith Number

pith:TFHPQE4V

pith:2008:TFHPQE4VKILVDJWJHEYBRLP2TN

not attested not anchored not stored refs pending

Birational aspects of the geometry of M_g

Gavril Farkas

arxiv:0810.0702 v2 · 2008-10-03 · 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{TFHPQE4VKILVDJWJHEYBRLP2TN}

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	2026-05-18T04:32:53.605198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994ef81395521751a6c9393018adfa9b745a4144b8b0146c4d5e2c25705ab87a

Aliases

arxiv: 0810.0702 · arxiv_version: 0810.0702v2 · doi: 10.48550/arxiv.0810.0702 · pith_short_12: TFHPQE4VKILV · pith_short_16: TFHPQE4VKILVDJWJ · pith_short_8: TFHPQE4V

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/TFHPQE4VKILVDJWJHEYBRLP2TN \
  | 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: 994ef81395521751a6c9393018adfa9b745a4144b8b0146c4d5e2c25705ab87a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620aa0f8dfeb0f0603d95c7da05dcbaa4cc423583397d882920f1041a37d00d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-03T19:22:40Z",
    "title_canon_sha256": "f75b53d770ccf39e6ebf5b0c9c84b44542ba0269dd0cc1dac92570a7168c92b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0702",
    "kind": "arxiv",
    "version": 2
  }
}