Pith Number

pith:SFOS7V27

pith:2007:SFOS7V27UXXTY4HDGVP3RCOMGA

not attested not anchored not stored refs pending

The Romanov theorem revised

Hao Pan, Hongze Li

arxiv:0708.2539 v2 · 2007-08-19 · 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{SFOS7V27UXXTY4HDGVP3RCOMGA}

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	2026-05-18T02:16:28.574110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915d2fd75fa5ef3c70e3355fb889cc30041589b8f9c55f7b31ffc0bb54d283c8

Aliases

arxiv: 0708.2539 · arxiv_version: 0708.2539v2 · doi: 10.48550/arxiv.0708.2539 · pith_short_12: SFOS7V27UXXT · pith_short_16: SFOS7V27UXXTY4HD · pith_short_8: SFOS7V27

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/SFOS7V27UXXTY4HDGVP3RCOMGA \
  | 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: 915d2fd75fa5ef3c70e3355fb889cc30041589b8f9c55f7b31ffc0bb54d283c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f452a4307a6f511e422e3492e127176cacf0c7ba11c3148d4c1d7139ac4deeff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-08-19T11:12:15Z",
    "title_canon_sha256": "0d04a055888525dc58bce742671650c38846484796fa25c3a4aa9aec4454a61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2539",
    "kind": "arxiv",
    "version": 2
  }
}