Pith Number

pith:TMATQVVK

pith:2011:TMATQVVK6CT3W4ENNO6FX7CQWY

not attested not anchored not stored refs pending

Reducts of the Generalized Random Bipartite Graph

Yun Lu

arxiv:1107.3883 v1 · 2011-07-20 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMATQVVK6CT3W4ENNO6FX7CQWY}

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	2026-05-18T04:17:14.480352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b013856aaf0a7bb708d6bbc5bfc50b60634d006d88658f2c0093d3c9417f0ec

Aliases

arxiv: 1107.3883 · arxiv_version: 1107.3883v1 · doi: 10.48550/arxiv.1107.3883 · pith_short_12: TMATQVVK6CT3 · pith_short_16: TMATQVVK6CT3W4EN · pith_short_8: TMATQVVK

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/TMATQVVK6CT3W4ENNO6FX7CQWY \
  | 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: 9b013856aaf0a7bb708d6bbc5bfc50b60634d006d88658f2c0093d3c9417f0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3dfb551025825d0e89d5d8f73719b10361a63848a172228cd3e2233241dffd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-07-20T02:50:18Z",
    "title_canon_sha256": "9e26a42103079b12887b505b698b3f50508867fcc362d8096ff980af12d635fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3883",
    "kind": "arxiv",
    "version": 1
  }
}