Pith Number

pith:5OYWLJIX

pith:2009:5OYWLJIXHPSFH2DXYHL4XCBJZT

not attested not anchored not stored refs pending

A Proof On Arnold Chord Conjecture

Renyi Ma

arxiv:0901.2440 v7 · 2009-01-18 · 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{5OYWLJIXHPSFH2DXYHL4XCBJZT}

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	2026-05-18T03:12:23.053606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb165a5173be453e877c1d7cb8829ccf588f5631655497e577ccc852ba133e9

Aliases

arxiv: 0901.2440 · arxiv_version: 0901.2440v7 · doi: 10.48550/arxiv.0901.2440 · pith_short_12: 5OYWLJIXHPSF · pith_short_16: 5OYWLJIXHPSFH2DX · pith_short_8: 5OYWLJIX

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/5OYWLJIXHPSFH2DXYHL4XCBJZT \
  | 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: ebb165a5173be453e877c1d7cb8829ccf588f5631655497e577ccc852ba133e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e22763b804aa089aee76da5be0db23f2db1f8f6c74a298a6999da4d151d852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-01-18T05:07:08Z",
    "title_canon_sha256": "76a32600f4193b1d5e425e049f46d4ae7f6361f0b03c48b4f19572e20ab1f38d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2440",
    "kind": "arxiv",
    "version": 7
  }
}