Pith Number

pith:KBUH6KM3

pith:2015:KBUH6KM3KCSAYJRJTFN24OPM6Q

not attested not anchored not stored refs pending

Symmetric Graphs with respect to Graph Entropy

Ehsan Chiniforooshan, Seyed Saeed Changiz Rezaei

arxiv:1510.01415 v1 · 2015-10-06 · 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{KBUH6KM3KCSAYJRJTFN24OPM6Q}

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	2026-05-18T01:30:56.948136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50687f299b50a40c2629995bae39ecf430ab6190ce75d210673c81b6308d1351

Aliases

arxiv: 1510.01415 · arxiv_version: 1510.01415v1 · doi: 10.48550/arxiv.1510.01415 · pith_short_12: KBUH6KM3KCSA · pith_short_16: KBUH6KM3KCSAYJRJ · pith_short_8: KBUH6KM3

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/KBUH6KM3KCSAYJRJTFN24OPM6Q \
  | 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: 50687f299b50a40c2629995bae39ecf430ab6190ce75d210673c81b6308d1351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c951adb3a45a357b63afbfd106028b8d7c4663756276916389e2d2be009db55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-06T02:24:48Z",
    "title_canon_sha256": "2dfe019ec0baa78919a81bc22f3087dfbd0bfd91a1d9dbb735d33e278a836d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01415",
    "kind": "arxiv",
    "version": 1
  }
}