Pith Number

pith:HMFVNRPK

pith:2006:HMFVNRPKY2BZ3IIDDACLALG7T3

not attested not anchored not stored refs pending

The global geometry of the moduli space of curves

Gavril Farkas

arxiv:math/0612251 v2 · 2006-12-10 · 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{HMFVNRPKY2BZ3IIDDACLALG7T3}

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	2026-05-18T04:32:43.983931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0b56c5eac6839da1031804b02cdf9ec1ade403aaeef2db7f14c8132521ee22

Aliases

arxiv: math/0612251 · arxiv_version: math/0612251v2 · doi: 10.48550/arxiv.math/0612251 · pith_short_12: HMFVNRPKY2BZ · pith_short_16: HMFVNRPKY2BZ3IID · pith_short_8: HMFVNRPK

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/HMFVNRPKY2BZ3IIDDACLALG7T3 \
  | 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: 3b0b56c5eac6839da1031804b02cdf9ec1ade403aaeef2db7f14c8132521ee22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97828ff0ec67a490fd257045e4d3aa0c678c5024064c8f3808444314d7af3e13",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-12-10T10:13:05Z",
    "title_canon_sha256": "399d9a41b1d2ef101da6801e8dcdbc9b64caf1b9d4934e65c6724cf887c38fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612251",
    "kind": "arxiv",
    "version": 2
  }
}