Pith Number

pith:74JE2XLL

pith:2025:74JE2XLLWECVYKTPKPPRQJWDBG

not attested not anchored not stored refs pending

On Distinguishing Graphs and Cost Number using Automorphism Representations

Alexa Gopaulsingh, Amitayu Banerjee, Zal\'an Moln\'ar

arxiv:2505.21299 v2 · 2025-05-27 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74JE2XLLWECVYKTPKPPRQJWDBG}

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	2026-07-05T11:15:00.489803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff124d5d6bb1055c2a6f53df1826c309911c25e5eec20abf44fc275dfd23b256

Aliases

arxiv: 2505.21299 · arxiv_version: 2505.21299v2 · doi: 10.48550/arxiv.2505.21299 · pith_short_12: 74JE2XLLWECV · pith_short_16: 74JE2XLLWECVYKTP · pith_short_8: 74JE2XLL

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/74JE2XLLWECVYKTPKPPRQJWDBG \
  | 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: ff124d5d6bb1055c2a6f53df1826c309911c25e5eec20abf44fc275dfd23b256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0adf841b3f3ba1ebcff75e64d56c4f3097537176ebf98318c3a2b749b60484a5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-27T15:02:20Z",
    "title_canon_sha256": "d8d874be20b79acf1450e8a749a22bcb03b490c7a82026622074c4938fc6ede9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21299",
    "kind": "arxiv",
    "version": 2
  }
}