Pith Number

pith:WMLTS7UD

pith:2011:WMLTS7UDPCKPVHR2FZ7BXSHM3L

not attested not anchored not stored refs pending

A note on triangle-free graphs

Petros A. Petrosyan, Vahan V. Mkrtchyan

arxiv:1101.3188 v1 · 2011-01-17 · 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{WMLTS7UDPCKPVHR2FZ7BXSHM3L}

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	2026-05-18T02:22:52.073893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b317397e837894fa9e3a2e7e1bc8ecdaeb85f7fb3630eba296fb069339acb957

Aliases

arxiv: 1101.3188 · arxiv_version: 1101.3188v1 · doi: 10.48550/arxiv.1101.3188 · pith_short_12: WMLTS7UDPCKP · pith_short_16: WMLTS7UDPCKPVHR2 · pith_short_8: WMLTS7UD

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/WMLTS7UDPCKPVHR2FZ7BXSHM3L \
  | 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: b317397e837894fa9e3a2e7e1bc8ecdaeb85f7fb3630eba296fb069339acb957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84abdf5ba04b4ca5e80f3721629c8513c50021b06a07e189ba0713f2fb913b05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-01-17T11:36:24Z",
    "title_canon_sha256": "cf1b20631ba2f9b392efc7512b52d5d778159c31504bac096bbc762214dd581b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3188",
    "kind": "arxiv",
    "version": 1
  }
}