Pith Number

pith:IV6BSR4Z

pith:2010:IV6BSR4ZN7KJLGAW2RVLUHJTB3

not attested not anchored not stored refs pending

Minimal functions on the random graph

Manuel Bodirsky, Michael Pinsker

arxiv:1003.4030 v3 · 2010-03-21 · math.LO · 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{IV6BSR4ZN7KJLGAW2RVLUHJTB3}

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	2026-05-18T03:39:16.962612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457c1947996fd4959816d46aba1d330efd27857be502e8fda849e36ef72629a7

Aliases

arxiv: 1003.4030 · arxiv_version: 1003.4030v3 · doi: 10.48550/arxiv.1003.4030 · pith_short_12: IV6BSR4ZN7KJ · pith_short_16: IV6BSR4ZN7KJLGAW · pith_short_8: IV6BSR4Z

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/IV6BSR4ZN7KJLGAW2RVLUHJTB3 \
  | 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: 457c1947996fd4959816d46aba1d330efd27857be502e8fda849e36ef72629a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a208f8affffb53f4b1903163742aeef5a7e83ffd9e1e9b254cad520ab72167",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-03-21T21:30:24Z",
    "title_canon_sha256": "ce56e5373f62dca8dbf257962b4b1e3b3055ed9bbaf65e6a6ab5108d15f37eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4030",
    "kind": "arxiv",
    "version": 3
  }
}