Pith Number

pith:OEWB53WO

pith:2011:OEWB53WOR5IK4A2G4KKRED5JKN

not attested not anchored not stored refs pending

A symplectic proof of a theorem of Franks

Andrew Zimmer, Benjamin M. Reiniger, Bolor Turmunkh, Brian Collier, Ely Kerman

arxiv:1107.1282 v2 · 2011-07-07 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEWB53WOR5IK4A2G4KKRED5JKN}

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	2026-05-17T23:53:36.551922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712c1eeece8f50ae0346e295120fa95376c7f2eb0b024a008b5133893d72c17c

Aliases

arxiv: 1107.1282 · arxiv_version: 1107.1282v2 · doi: 10.48550/arxiv.1107.1282 · pith_short_12: OEWB53WOR5IK · pith_short_16: OEWB53WOR5IK4A2G · pith_short_8: OEWB53WO

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/OEWB53WOR5IK4A2G4KKRED5JKN \
  | 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: 712c1eeece8f50ae0346e295120fa95376c7f2eb0b024a008b5133893d72c17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa4b2806f9511018bc730dcf25c415d053cc6c136e2dce10a8d4b6a8674b943",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-07-07T02:22:09Z",
    "title_canon_sha256": "9992a4ef97e308e83d2f605d173b8ee7119ce4af492cebedad72bf0770a513b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1282",
    "kind": "arxiv",
    "version": 2
  }
}