Pith Number

pith:KYK54YYT

pith:2019:KYK54YYTMBPA44EZWEOZD4UTU2

not attested not anchored not stored refs pending

On the local structure of oriented graphs -- a case study in flag algebras

Avraham Morgenstern, Dan Hefetz, Nati Linial, Roman Glebov, Shoni Gilboa

arxiv:1908.06480 v2 · 2019-08-18 · 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{KYK54YYTMBPA44EZWEOZD4UTU2}

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	2026-07-05T04:47:54.246602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5615de6313605e0e7099b11d91f293a688748fe24e6225c8286fe2204c280110

Aliases

arxiv: 1908.06480 · arxiv_version: 1908.06480v2 · doi: 10.48550/arxiv.1908.06480 · pith_short_12: KYK54YYTMBPA · pith_short_16: KYK54YYTMBPA44EZ · pith_short_8: KYK54YYT

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/KYK54YYTMBPA44EZWEOZD4UTU2 \
  | 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: 5615de6313605e0e7099b11d91f293a688748fe24e6225c8286fe2204c280110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d946aff15df93beb6ec7546d659204d17b8b5debb954fe26c53f13527c2b757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-18T17:08:23Z",
    "title_canon_sha256": "310c25a0174e9414df6ee89ac7761928f7d413098a02ab2389517f7fd683a48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06480",
    "kind": "arxiv",
    "version": 2
  }
}