Pith Number

pith:3WOSQD5I

pith:2008:3WOSQD5IYM3LSDONROUVIBNZ6D

not attested not anchored not stored refs pending

A Counter Example To the Hodge Conjecture

Renyi Ma

arxiv:0808.1402 v5 · 2008-08-10 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WOSQD5IYM3LSDONROUVIBNZ6D}

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	2026-05-18T03:35:54.724778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9d280fa8c336b90dcd8ba95405b9f0dd00a03a459e863e6a4467cf280a2144

Aliases

arxiv: 0808.1402 · arxiv_version: 0808.1402v5 · doi: 10.48550/arxiv.0808.1402 · pith_short_12: 3WOSQD5IYM3L · pith_short_16: 3WOSQD5IYM3LSDON · pith_short_8: 3WOSQD5I

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/3WOSQD5IYM3LSDONROUVIBNZ6D \
  | 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: dd9d280fa8c336b90dcd8ba95405b9f0dd00a03a459e863e6a4467cf280a2144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc880dcf778c294586264dddae2e763fd1fbeb94e931cf3d4df764a9a4350ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2008-08-10T11:17:16Z",
    "title_canon_sha256": "c3a88328922de3370f213820f2b52d9829bff093d9623f61fae1d2dccb930b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1402",
    "kind": "arxiv",
    "version": 5
  }
}