Pith Number

pith:SZ74HXDQ

pith:2013:SZ74HXDQPJ5TSRKIJZRZMCCUFL

not attested not anchored not stored refs pending

Central limit theorem for T-graphs

Benoit Laslier

arxiv:1312.3177 v2 · 2013-12-11 · 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{SZ74HXDQPJ5TSRKIJZRZMCCUFL}

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	2026-05-18T03:02:20.126730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967fc3dc707a7b3945484e639608542ae9f8085a8cd3beb7ead250e782703308

Aliases

arxiv: 1312.3177 · arxiv_version: 1312.3177v2 · doi: 10.48550/arxiv.1312.3177 · pith_short_12: SZ74HXDQPJ5T · pith_short_16: SZ74HXDQPJ5TSRKI · pith_short_8: SZ74HXDQ

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/SZ74HXDQPJ5TSRKIJZRZMCCUFL \
  | 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: 967fc3dc707a7b3945484e639608542ae9f8085a8cd3beb7ead250e782703308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dba93bda5f7c80b9f65342b965459a94f5f391ad5da7edb3d14c565e8251345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-11T14:14:53Z",
    "title_canon_sha256": "b00e947ade356c3651903379c1863420fac54959559153b9aa44dc73e73da50f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3177",
    "kind": "arxiv",
    "version": 2
  }
}