Pith Number

pith:IR6BMP2Z

pith:2008:IR6BMP2ZCO46WQLQKVPTZRGUXD

not attested not anchored not stored refs pending

Proofs On Arnold Conjectures

Renyi Ma

arxiv:0808.0613 v7 · 2008-08-05 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IR6BMP2ZCO46WQLQKVPTZRGUXD}

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	2026-05-18T03:19:13.557819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447c163f5913b9eb4170555f3cc4d4b8efd8a2abce353264001283c0f72519ba

Aliases

arxiv: 0808.0613 · arxiv_version: 0808.0613v7 · doi: 10.48550/arxiv.0808.0613 · pith_short_12: IR6BMP2ZCO46 · pith_short_16: IR6BMP2ZCO46WQLQ · pith_short_8: IR6BMP2Z

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/IR6BMP2ZCO46WQLQKVPTZRGUXD \
  | 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: 447c163f5913b9eb4170555f3cc4d4b8efd8a2abce353264001283c0f72519ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e338970f6c84f486eadfafa38f26988b527ed0d5558bc4f1697264cec120d12",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-08-05T10:54:45Z",
    "title_canon_sha256": "311c4f6709d5e126bd34f78eaf6fd3a49cc0033213d8958a51067b2e70974d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0613",
    "kind": "arxiv",
    "version": 7
  }
}