Pith Number

pith:QYYTQDXO

pith:2014:QYYTQDXOD42CGZDRHCCD2SLIAL

not attested not anchored not stored refs pending

Path algebras and de Broglie waves

Murray Gerstenhaber

arxiv:1403.3429 v1 · 2014-03-13 · math-ph · math.AT · math.MP · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYYTQDXOD42CGZDRHCCD2SLIAL}

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	2026-05-18T02:56:20.467975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8631380eee1f3423647138843d496802ed82b9f93da2f4d025c073a8ed333f7b

Aliases

arxiv: 1403.3429 · arxiv_version: 1403.3429v1 · doi: 10.48550/arxiv.1403.3429 · pith_short_12: QYYTQDXOD42C · pith_short_16: QYYTQDXOD42CGZDR · pith_short_8: QYYTQDXO

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/QYYTQDXOD42CGZDRHCCD2SLIAL \
  | 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: 8631380eee1f3423647138843d496802ed82b9f93da2f4d025c073a8ed333f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e47488fc879cb7972074a403c1613c4db38864fde4e14eab6c752516761fc1a2",
    "cross_cats_sorted": [
      "math.AT",
      "math.MP",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-13T20:58:25Z",
    "title_canon_sha256": "419626007a7d61d105e66a2fbd38fa18fbfc67c9e3ea451659785e333ef6eb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3429",
    "kind": "arxiv",
    "version": 1
  }
}