Pith Number

pith:4DBFBDMB

pith:2007:4DBFBDMBZUUEO5G7PMLRURH23X

not attested not anchored not stored refs pending

Local invariants attached to Weierstrass points

Robin de Jong

arxiv:0710.5464 v2 · 2007-10-29 · 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{4DBFBDMBZUUEO5G7PMLRURH23X}

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	2026-05-18T03:57:14.509892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c2508d81cd284774df7b171a44faddf798e35e3abdbf3413cfbbf51562366d

Aliases

arxiv: 0710.5464 · arxiv_version: 0710.5464v2 · doi: 10.48550/arxiv.0710.5464 · pith_short_12: 4DBFBDMBZUUE · pith_short_16: 4DBFBDMBZUUEO5G7 · pith_short_8: 4DBFBDMB

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/4DBFBDMBZUUEO5G7PMLRURH23X \
  | 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: e0c2508d81cd284774df7b171a44faddf798e35e3abdbf3413cfbbf51562366d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd5d17a6febc6f6e3c8263ff4b55a3d7c6ecc444be394d6ac3c13ae7f7f2ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-29T16:00:41Z",
    "title_canon_sha256": "89c2850c1dc4c58eb1cacd471debd4501814fa00cb54310fc30034f48d8f62c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5464",
    "kind": "arxiv",
    "version": 2
  }
}