Pith Number

pith:UB5ZZVSO

pith:2012:UB5ZZVSONVBVXCZXKF7R4ILWPP

not attested not anchored not stored refs pending

From one Reeb orbit to two

Daniel Cristofaro-Gardiner, Michael Hutchings

arxiv:1202.4839 v4 · 2012-02-22 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UB5ZZVSONVBVXCZXKF7R4ILWPP}

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	2026-05-18T03:03:21.422650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07b9cd64e6d435b8b37517f1e21767bf82f2538ea3425732a78309ec9719fa0

Aliases

arxiv: 1202.4839 · arxiv_version: 1202.4839v4 · doi: 10.48550/arxiv.1202.4839 · pith_short_12: UB5ZZVSONVBV · pith_short_16: UB5ZZVSONVBVXCZX · pith_short_8: UB5ZZVSO

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/UB5ZZVSONVBVXCZXKF7R4ILWPP \
  | 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: a07b9cd64e6d435b8b37517f1e21767bf82f2538ea3425732a78309ec9719fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d9ec106b4fe67de332711525370b850bf1407803439a411d4f9a94d0266f19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-02-22T07:12:50Z",
    "title_canon_sha256": "590470dbf175bcc524497c28bd972198f7a481f5593e4e7a30ce43d70d69c78c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4839",
    "kind": "arxiv",
    "version": 4
  }
}