Pith Number

pith:IZS3S3BM

pith:2014:IZS3S3BMJOLAMQPFFBU44TGI2C

not attested not anchored not stored refs pending

Expoential bounds on the number of causal triangulations

Bergfinnur Durhuus, Thordur Jonsson

arxiv:1408.2101 v1 · 2014-08-09 · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZS3S3BMJOLAMQPFFBU44TGI2C}

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	2026-05-18T01:31:46.523134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4665b96c2c4b960641e52869ce4cc8d09775903028fb809635a3365dd48f13f3

Aliases

arxiv: 1408.2101 · arxiv_version: 1408.2101v1 · doi: 10.48550/arxiv.1408.2101 · pith_short_12: IZS3S3BMJOLA · pith_short_16: IZS3S3BMJOLAMQPF · pith_short_8: IZS3S3BM

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/IZS3S3BMJOLAMQPFFBU44TGI2C \
  | 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: 4665b96c2c4b960641e52869ce4cc8d09775903028fb809635a3365dd48f13f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688b15882e5fbdec9f9f145e142c7f65ca62211e69211533e852ac6e14d1eda1",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-09T14:16:06Z",
    "title_canon_sha256": "59c1aa84b4aa194ca5e3c0f5cb453f9b0fd9052be6f4e8d53353eb2ab56d1ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2101",
    "kind": "arxiv",
    "version": 1
  }
}