Pith Number

pith:3EWNLTM3

pith:2009:3EWNLTM3L6DLLWSL6KFS7O67NM

not attested not anchored not stored refs pending

Order-invariant measures on causal sets

Graham Brightwell, Malwina Luczak

arxiv:0901.0240 v3 · 2009-01-02 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EWNLTM3L6DLLWSL6KFS7O67NM}

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	2026-05-18T04:12:43.205698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d92cd5cd9b5f86b5da4bf28b2fbbdf6b07a70820b36d0567a33ad08519f2486a

Aliases

arxiv: 0901.0240 · arxiv_version: 0901.0240v3 · doi: 10.48550/arxiv.0901.0240 · pith_short_12: 3EWNLTM3L6DL · pith_short_16: 3EWNLTM3L6DLLWSL · pith_short_8: 3EWNLTM3

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/3EWNLTM3L6DLLWSL6KFS7O67NM \
  | 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: d92cd5cd9b5f86b5da4bf28b2fbbdf6b07a70820b36d0567a33ad08519f2486a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec8069c1cdee9acbc6462b84990fe9759bba771f61a643f4a157804af6c23d9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-02T14:42:03Z",
    "title_canon_sha256": "a7d6e63d8f73916de82fb063281f2783beb91a022cddca1106eaece069b23385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0240",
    "kind": "arxiv",
    "version": 3
  }
}