Pith Number

pith:4LVWIMQE

pith:2010:4LVWIMQEDYW53SOEI3745GX26G

not attested not anchored not stored refs pending

Topological arbiters

Michael Freedman, Vyacheslav Krushkal

arxiv:1002.1063 v3 · 2010-02-04 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LVWIMQEDYW53SOEI3745GX26G}

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	2026-05-18T02:24:39.148349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2eb6432041e2dddc9c446ffce9afaf1b2f0e68038b6f1f3719eaa12ff66dde9

Aliases

arxiv: 1002.1063 · arxiv_version: 1002.1063v3 · doi: 10.48550/arxiv.1002.1063 · pith_short_12: 4LVWIMQEDYW5 · pith_short_16: 4LVWIMQEDYW53SOE · pith_short_8: 4LVWIMQE

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/4LVWIMQEDYW53SOEI3745GX26G \
  | 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: e2eb6432041e2dddc9c446ffce9afaf1b2f0e68038b6f1f3719eaa12ff66dde9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6faaff799eb14e573b1b82b148db8f9b06775dce676143dcc4f4aaa0a22d53",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-04T20:03:46Z",
    "title_canon_sha256": "1faa03d0fc720de4b4cbc4aeee159b1dbe41e081f1509f991a20436a4589168d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1063",
    "kind": "arxiv",
    "version": 3
  }
}