Pith Number

pith:YH3P3H4W

pith:2016:YH3P3H4WJ7LAMNR4Z2IL5MAZOB

not attested not anchored not stored refs pending

Extremal theory of locally sparse multigraphs

Caroline Terry, Dhruv Mubayi

arxiv:1608.08948 v1 · 2016-08-31 · 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{YH3P3H4WJ7LAMNR4Z2IL5MAZOB}

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	2026-05-18T01:06:39.596345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f6fd9f964fd606363cce90beb019705c94559fb4b37089f8d9e55b3eccf94a

Aliases

arxiv: 1608.08948 · arxiv_version: 1608.08948v1 · doi: 10.48550/arxiv.1608.08948 · pith_short_12: YH3P3H4WJ7LA · pith_short_16: YH3P3H4WJ7LAMNR4 · pith_short_8: YH3P3H4W

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/YH3P3H4WJ7LAMNR4Z2IL5MAZOB \
  | 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: c1f6fd9f964fd606363cce90beb019705c94559fb4b37089f8d9e55b3eccf94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b825b5ec3eabea84ea57e141d542d537567bafd156767c5340f1a8f7cf4bd1a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-31T17:12:35Z",
    "title_canon_sha256": "07c350a33df514435c0c6e14fbbdbb7f85335f69b3a7815a2552e1627bbdfed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08948",
    "kind": "arxiv",
    "version": 1
  }
}