Pith Number

pith:NNOTJGV7

pith:2015:NNOTJGV7AUYTJVLBGM5AKTLBHU

not attested not anchored not stored refs pending

A counterexample to a result on the tree graph of a graph

Ana Paulina Figueroa, Eduardo Rivera-Campo

arxiv:1511.01372 v1 · 2015-11-04 · 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{NNOTJGV7AUYTJVLBGM5AKTLBHU}

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	2026-05-18T01:24:24.103777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5d349abf053134d561333a054d613d238550a89fab53f563cf13952c4b5704

Aliases

arxiv: 1511.01372 · arxiv_version: 1511.01372v1 · doi: 10.48550/arxiv.1511.01372 · pith_short_12: NNOTJGV7AUYT · pith_short_16: NNOTJGV7AUYTJVLB · pith_short_8: NNOTJGV7

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/NNOTJGV7AUYTJVLBGM5AKTLBHU \
  | 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: 6b5d349abf053134d561333a054d613d238550a89fab53f563cf13952c4b5704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e91fee81d0b23a262d744e6191815e26e2b4c8951add822aa8d4036f5a0cd58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-04T15:34:50Z",
    "title_canon_sha256": "dd625d2920145f54bfae9d99d62dedbe70cc271345a1588f27a0070128657506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01372",
    "kind": "arxiv",
    "version": 1
  }
}