Pith Number

pith:TMLXAH3X

pith:2011:TMLXAH3XYTJS7PMQ57I27MIBMF

not attested not anchored not stored refs pending

Extending Torelli map to toroidal compactifications of Siegel space

Adrian Brunyate, Valery Alexeev

arxiv:1102.3425 v3 · 2011-02-16 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMLXAH3XYTJS7PMQ57I27MIBMF}

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	2026-05-18T02:03:10.250500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b17701f77c4d32fbd90efd1afb101614aa7605864573da1cd73c17314d91986

Aliases

arxiv: 1102.3425 · arxiv_version: 1102.3425v3 · doi: 10.48550/arxiv.1102.3425 · pith_short_12: TMLXAH3XYTJS · pith_short_16: TMLXAH3XYTJS7PMQ · pith_short_8: TMLXAH3X

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/TMLXAH3XYTJS7PMQ57I27MIBMF \
  | 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: 9b17701f77c4d32fbd90efd1afb101614aa7605864573da1cd73c17314d91986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc43b6ab3f4205193564e70520a6a15f24540a7ef8b1af6f12e5ccbf89ca384",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-16T20:48:52Z",
    "title_canon_sha256": "1be8279b5ee40197897f246f37de0829826932a2d550a2e2112ca26c3acaef82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3425",
    "kind": "arxiv",
    "version": 3
  }
}