Pith Number

pith:FVSWED2Z

pith:2002:FVSWED2ZBWSFRYQSYHMZBFYBFG

not attested not anchored not stored refs pending

Determining the Genus of a Map by Local Observation of a Simple Random Process

Itai Benjamini, Laszlo Lovasz

arxiv:math/0202127 v1 · 2002-02-13 · math.PR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVSWED2ZBWSFRYQSYHMZBFYBFG}

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	2026-07-04T14:35:55.189649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d65620f590da458e212c1d99097012991b478726935564dd34abb9d16d1568b

Aliases

arxiv: math/0202127 · arxiv_version: math/0202127v1 · doi: 10.48550/arxiv.math/0202127 · pith_short_12: FVSWED2ZBWSF · pith_short_16: FVSWED2ZBWSFRYQS · pith_short_8: FVSWED2Z

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/FVSWED2ZBWSFRYQSYHMZBFYBFG \
  | 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: 2d65620f590da458e212c1d99097012991b478726935564dd34abb9d16d1568b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a00c763edd772eb7b9658d680a9caa45438a302286122892395e5364a2f2c9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-02-13T19:13:41Z",
    "title_canon_sha256": "165e668c52ace79d8e69dff26961a213452722e54cdcd0b24010f34a38bca323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202127",
    "kind": "arxiv",
    "version": 1
  }
}