Pith Number

pith:VHIX7FQ4

pith:2009:VHIX7FQ42LHE5MLJFPFTX2BFIV

not attested not anchored not stored refs pending

Order-invariant measures on fixed causal sets

Graham Brightwell, Malwina Luczak

arxiv:0901.0242 v2 · 2009-01-02 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHIX7FQ42LHE5MLJFPFTX2BFIV}

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	2026-05-18T04:03:44.028661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d17f961cd2ce4eb1692bcb3be82545507c803e646bfdbf2b8cf8c4a13de278

Aliases

arxiv: 0901.0242 · arxiv_version: 0901.0242v2 · doi: 10.48550/arxiv.0901.0242 · pith_short_12: VHIX7FQ42LHE · pith_short_16: VHIX7FQ42LHE5MLJ · pith_short_8: VHIX7FQ4

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/VHIX7FQ42LHE5MLJFPFTX2BFIV \
  | 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: a9d17f961cd2ce4eb1692bcb3be82545507c803e646bfdbf2b8cf8c4a13de278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f8496f666ca7026d771ea6791b8fd36bc888378ef01c521038fe9f47ad5683",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-01-02T14:51:42Z",
    "title_canon_sha256": "65238211aa34e85e7f476d442deaf5ebad739aded5fb51f706f1d53661036a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0242",
    "kind": "arxiv",
    "version": 2
  }
}