Pith Number

pith:VQFW2QNY

pith:2017:VQFW2QNYQDOJNWA36FG26CBJS4

not attested not anchored not stored refs pending

Typical structure of oriented graphs and digraphs with forbidden blow-up transitive triangle

Jianxi Liu

arxiv:1703.03080 v1 · 2017-03-09 · 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{VQFW2QNYQDOJNWA36FG26CBJS4}

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	2026-05-18T00:49:01.628626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0b6d41b880dc96d81bf14daf0829970dfb061e4276f0f43136303f038119e5

Aliases

arxiv: 1703.03080 · arxiv_version: 1703.03080v1 · doi: 10.48550/arxiv.1703.03080 · pith_short_12: VQFW2QNYQDOJ · pith_short_16: VQFW2QNYQDOJNWA3 · pith_short_8: VQFW2QNY

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/VQFW2QNYQDOJNWA36FG26CBJS4 \
  | 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: ac0b6d41b880dc96d81bf14daf0829970dfb061e4276f0f43136303f038119e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8774115a507171b26ca2bd663cf9585ac13eaea0fd306de83702a4c9a5e62e89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-09T00:07:04Z",
    "title_canon_sha256": "e7a28753dc1b27a1ceedacdeadf6de3f8ab1a7f1dce506a4045c00b91372b571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03080",
    "kind": "arxiv",
    "version": 1
  }
}