Pith Number

pith:BG5W7UQP

pith:2014:BG5W7UQPUSRSMEP2WJRTWI2FLJ

not attested not anchored not stored refs pending

Graph functions maximized on a path

Celso Marques da Silva Jr, Vladimir Nikiforov

arxiv:1412.8215 v1 · 2014-12-28 · 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{BG5W7UQPUSRSMEP2WJRTWI2FLJ}

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	2026-05-18T02:30:23.768259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09bb6fd20fa4a32611fab2633b23455a4d6b73a65498b2067e9a5d87ed29f8fc

Aliases

arxiv: 1412.8215 · arxiv_version: 1412.8215v1 · doi: 10.48550/arxiv.1412.8215 · pith_short_12: BG5W7UQPUSRS · pith_short_16: BG5W7UQPUSRSMEP2 · pith_short_8: BG5W7UQP

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/BG5W7UQPUSRSMEP2WJRTWI2FLJ \
  | 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: 09bb6fd20fa4a32611fab2633b23455a4d6b73a65498b2067e9a5d87ed29f8fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c558de8424db35799caf87640340afce09c3042ee30fd48e96898e67bf7c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-28T21:30:27Z",
    "title_canon_sha256": "43b9d7fcfcb0e2a933f69493a0a9ded6d514ac5d351f358fe092d085d716ac75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8215",
    "kind": "arxiv",
    "version": 1
  }
}