Pith Number

pith:GJIQU7QS

pith:2013:GJIQU7QSSJIDC4CV2VKXRCDHQN

not attested not anchored not stored refs pending

Tutte polynomials and a stronger version of the Akiyama-Harary problem

Jernej Azarija

arxiv:1306.0864 v3 · 2013-06-04 · 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{GJIQU7QSSJIDC4CV2VKXRCDHQN}

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	2026-05-18T03:08:07.064252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32510a7e129250317055d555788867837daab1d827e431ca8c4650f66acbe38d

Aliases

arxiv: 1306.0864 · arxiv_version: 1306.0864v3 · doi: 10.48550/arxiv.1306.0864 · pith_short_12: GJIQU7QSSJID · pith_short_16: GJIQU7QSSJIDC4CV · pith_short_8: GJIQU7QS

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/GJIQU7QSSJIDC4CV2VKXRCDHQN \
  | 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: 32510a7e129250317055d555788867837daab1d827e431ca8c4650f66acbe38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf16ca6617658638fd4eb0422926bfaa92a51c3b1d7a2c0537cf29d9645644d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-04T17:54:50Z",
    "title_canon_sha256": "c93b19eb8a6623718c73ad27cc435b6638137c4bf9b88e81e84af9dd310fad96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0864",
    "kind": "arxiv",
    "version": 3
  }
}