Pith Number

pith:WXUTFVMR

pith:2012:WXUTFVMRAWGHAUTIOMTTE2PV2Z

not attested not anchored not stored refs pending

On the evolution of random graphs on spaces of negative curvature

Nikolaos Fountoulakis

arxiv:1205.2923 v1 · 2012-05-14 · math.CO · cs.DM · 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{WXUTFVMRAWGHAUTIOMTTE2PV2Z}

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	2026-05-18T03:55:45.667951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e932d591058c70526873273269f5d65c0063ff9eeecb3358e784b37ba67b97

Aliases

arxiv: 1205.2923 · arxiv_version: 1205.2923v1 · doi: 10.48550/arxiv.1205.2923 · pith_short_12: WXUTFVMRAWGH · pith_short_16: WXUTFVMRAWGHAUTI · pith_short_8: WXUTFVMR

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/WXUTFVMRAWGHAUTIOMTTE2PV2Z \
  | 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: b5e932d591058c70526873273269f5d65c0063ff9eeecb3358e784b37ba67b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d9f56cfbdbcebb9ce9e85b47951d444e84c10e0f3e75db07fb5555c3a4a01c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-14T01:06:57Z",
    "title_canon_sha256": "5e520bf921684cba2344b32e5b1166341760034f28af0fb6ab18eb7941aa6675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2923",
    "kind": "arxiv",
    "version": 1
  }
}