Pith Number

pith:VR2OCYNY

pith:2009:VR2OCYNY5OEV4SKL5KG65525VP

not attested not anchored not stored refs pending

Bounds on Factors in Z[x]

John Abbott

arxiv:0904.3057 v1 · 2009-04-20 · math.NT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR2OCYNY5OEV4SKL5KG65525VP}

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	2026-05-18T01:34:59.641147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac74e161b8eb895e494bea8deef75dabcb6a2ec99bdafbb0c7a9acad639827bd

Aliases

arxiv: 0904.3057 · arxiv_version: 0904.3057v1 · doi: 10.48550/arxiv.0904.3057 · pith_short_12: VR2OCYNY5OEV · pith_short_16: VR2OCYNY5OEV4SKL · pith_short_8: VR2OCYNY

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/VR2OCYNY5OEV4SKL5KG65525VP \
  | 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: ac74e161b8eb895e494bea8deef75dabcb6a2ec99bdafbb0c7a9acad639827bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dc62df6d1887e27489cf355beb3ba5fc15245cde17d175731350b26235984c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-20T15:20:58Z",
    "title_canon_sha256": "968e8917b89b3c8a83e1c167602a984303e86cf47fa27700e324507d5cd6f7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3057",
    "kind": "arxiv",
    "version": 1
  }
}