Pith Number

pith:4L7RJ3Z2

pith:2015:4L7RJ3Z2F5G63AEQZP65GKHJ32

not attested not anchored not stored refs pending

Bivariate factorization using a critical fiber

Martin Weimann

arxiv:1501.03011 v1 · 2015-01-13 · 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{4L7RJ3Z2F5G63AEQZP65GKHJ32}

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	2026-05-18T02:29:30.684763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ff14ef3a2f4ded8090cbfdd328e9de9fae10ded9787faff0bff1437c62465d

Aliases

arxiv: 1501.03011 · arxiv_version: 1501.03011v1 · doi: 10.48550/arxiv.1501.03011 · pith_short_12: 4L7RJ3Z2F5G6 · pith_short_16: 4L7RJ3Z2F5G63AEQ · pith_short_8: 4L7RJ3Z2

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/4L7RJ3Z2F5G63AEQZP65GKHJ32 \
  | 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: e2ff14ef3a2f4ded8090cbfdd328e9de9fae10ded9787faff0bff1437c62465d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfae8ed458144d809d8ddda7a0e721f5be02e997fffaecf544e2cc707829415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-13T14:10:45Z",
    "title_canon_sha256": "9ad5fb1b64d5f6e400e25739df21b1340965ec190380107c4dd6a4ce909524d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03011",
    "kind": "arxiv",
    "version": 1
  }
}