Pith Number

pith:3X3OQPZO

pith:2012:3X3OQPZOVXQK6WWE2EZKAPFQKR

not attested not anchored not stored refs pending

Irregular Bipolar Fuzzy Graphs

Madhumangal Pal, Sovan Samanta

arxiv:1209.1682 v1 · 2012-09-08 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3X3OQPZOVXQK6WWE2EZKAPFQKR}

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	2026-05-18T03:45:54.729419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf6e83f2eade0af5ac4d132a03cb0545f95548df534d8b9298e358f66b02b3f

Aliases

arxiv: 1209.1682 · arxiv_version: 1209.1682v1 · doi: 10.48550/arxiv.1209.1682 · pith_short_12: 3X3OQPZOVXQK · pith_short_16: 3X3OQPZOVXQK6WWE · pith_short_8: 3X3OQPZO

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/3X3OQPZOVXQK6WWE2EZKAPFQKR \
  | 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: ddf6e83f2eade0af5ac4d132a03cb0545f95548df534d8b9298e358f66b02b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269d091d2825470b3805fc86c3729e5163312fc6c4b2b4f11887b3e86f3885b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-09-08T02:17:46Z",
    "title_canon_sha256": "d5c63fcb5746e881b8cc5eb649c2775dbf3d4fdfa750dd2c8c72ba627cda9453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1682",
    "kind": "arxiv",
    "version": 1
  }
}