Pith Number

pith:F73OY6W2

pith:2015:F73OY6W2SAXU6NFXMYUTI5SRQ3

not attested not anchored not stored refs pending

Algebraic method for finding equivalence groups

Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych

arxiv:1503.06487 v2 · 2015-03-22 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F73OY6W2SAXU6NFXMYUTI5SRQ3}

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	2026-05-18T01:49:55.612857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff6ec7ada902f4f34b7662934765186d6f657cf1605b965ebb18c51a3831324

Aliases

arxiv: 1503.06487 · arxiv_version: 1503.06487v2 · doi: 10.48550/arxiv.1503.06487 · pith_short_12: F73OY6W2SAXU · pith_short_16: F73OY6W2SAXU6NFX · pith_short_8: F73OY6W2

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/F73OY6W2SAXU6NFXMYUTI5SRQ3 \
  | 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: 2ff6ec7ada902f4f34b7662934765186d6f657cf1605b965ebb18c51a3831324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2dfda379578324b0fe9fee63a7d076c3bee28834e80c009c87a0d361ab18f4f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-22T22:14:56Z",
    "title_canon_sha256": "c3480e9b4e701490b280edffbecd3cf4412ecdd00690dda76b8afcf746a8baea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06487",
    "kind": "arxiv",
    "version": 2
  }
}