Pith Number

pith:46TD3X2K

pith:2013:46TD3X2KTN4BEXCPNOMD4XZJYK

not attested not anchored not stored refs pending

N\'eron models of algebraic curves

Jilong Tong, Qing Liu

arxiv:1312.4822 v1 · 2013-12-17 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46TD3X2KTN4BEXCPNOMD4XZJYK}

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	2026-05-18T01:03:44.682273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a63ddf4a9b78125c4f6b983e5f29c28ceddb2c217d20e50ead08d40a56e46b

Aliases

arxiv: 1312.4822 · arxiv_version: 1312.4822v1 · doi: 10.48550/arxiv.1312.4822 · pith_short_12: 46TD3X2KTN4B · pith_short_16: 46TD3X2KTN4BEXCP · pith_short_8: 46TD3X2K

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/46TD3X2KTN4BEXCPNOMD4XZJYK \
  | 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: e7a63ddf4a9b78125c4f6b983e5f29c28ceddb2c217d20e50ead08d40a56e46b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b060f33c3c5ecd0aba8a2fd1482f22290ca344a5e25cd74cc1b40ade130c62",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-17T15:22:09Z",
    "title_canon_sha256": "96d1bddd21158ed0525f565c4ac775c9d6e612d9b5c36b25fed9ef9180562d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4822",
    "kind": "arxiv",
    "version": 1
  }
}