Pith Number

pith:6LRFOXOA

pith:2013:6LRFOXOACTKKEWKE6CL2L2LR7K

not attested not anchored not stored refs pending

Non-abelian resonance: product and coproduct formulas

Alexander I. Suciu, Stefan Papadima

arxiv:1312.1828 v1 · 2013-12-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LRFOXOACTKKEWKE6CL2L2LR7K}

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	2026-05-18T02:39:23.951664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e2575dc014d4a25944f097a5e971faaf6edca4c99f5b0d7287b58a3d6135ab

Aliases

arxiv: 1312.1828 · arxiv_version: 1312.1828v1 · doi: 10.48550/arxiv.1312.1828 · pith_short_12: 6LRFOXOACTKK · pith_short_16: 6LRFOXOACTKKEWKE · pith_short_8: 6LRFOXOA

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/6LRFOXOACTKKEWKE6CL2L2LR7K \
  | 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: f2e2575dc014d4a25944f097a5e971faaf6edca4c99f5b0d7287b58a3d6135ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49368ac5ee6e69f8dd6af6be9ea9454675c6d8befe72bd03f0a4dd33ba3a20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-06T11:03:10Z",
    "title_canon_sha256": "1f1b1ddac3315e9e033118800f984fc356c42bd665376c7e110bfc87fed82e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1828",
    "kind": "arxiv",
    "version": 1
  }
}