Pith Number

pith:MU6FMEVV

pith:2020:MU6FMEVVME5LSBOABCXECDQGLD

not attested not anchored not stored refs pending

Extremal problems for pairs of triangles

Dhruv Mubayi, Jacques Verstra\"ete, Jason O'Neill, Zolt\'an F\"uredi

arxiv:2010.11100 v3 · 2020-10-21 · 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{MU6FMEVVME5LSBOABCXECDQGLD}

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	2026-07-05T02:00:50.473054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653c5612b5613ab905c008ae410e0658ded9a7c8b38b422c33f9265587160080

Aliases

arxiv: 2010.11100 · arxiv_version: 2010.11100v3 · doi: 10.48550/arxiv.2010.11100 · pith_short_12: MU6FMEVVME5L · pith_short_16: MU6FMEVVME5LSBOA · pith_short_8: MU6FMEVV

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/MU6FMEVVME5LSBOABCXECDQGLD \
  | 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: 653c5612b5613ab905c008ae410e0658ded9a7c8b38b422c33f9265587160080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6e919e5756c435ba0ad8c2e3c2d61f2adf45747f1a94e5b61c8ca3809af419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-21T16:09:01Z",
    "title_canon_sha256": "cb2774ccc6719868dcd2752d182f355de7d9fbacac0ece77a318ade51ccc6df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11100",
    "kind": "arxiv",
    "version": 3
  }
}