Pith Number

pith:3RDPQUI6

pith:2012:3RDPQUI65HYXFOO7XSIG2PATJC

not attested not anchored not stored refs pending

A sum-product theorem in function fields

Thomas Bloom, Timothy G. F. Jones

arxiv:1211.5493 v2 · 2012-11-23 · math.NT · 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{3RDPQUI65HYXFOO7XSIG2PATJC}

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	2026-05-18T03:32:05.100961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc46f8511ee9f172b9dfbc906d3c134897f8d7e21343585a28e8000616e72499

Aliases

arxiv: 1211.5493 · arxiv_version: 1211.5493v2 · doi: 10.48550/arxiv.1211.5493 · pith_short_12: 3RDPQUI65HYX · pith_short_16: 3RDPQUI65HYXFOO7 · pith_short_8: 3RDPQUI6

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/3RDPQUI65HYXFOO7XSIG2PATJC \
  | 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: dc46f8511ee9f172b9dfbc906d3c134897f8d7e21343585a28e8000616e72499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbce486c0addec99e908cd4b34a9c868ca9e1625a804abd4d1c720171d3c40c1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-23T13:07:29Z",
    "title_canon_sha256": "a1e2535d0e4746c9968d1ca2df3dde381c41421caed77aef4749fac3e02e90af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5493",
    "kind": "arxiv",
    "version": 2
  }
}