Pith Number

pith:NFK5FQTR

pith:2001:NFK5FQTRAR6IUQ6ZS26BTQF7YO

not attested not anchored not stored refs pending

Combinatorial identities for binary necklaces from exact ray-splitting trace formulae

R. Bl\"umel, Yu. Dabaghian

arxiv:math-ph/0107026 v1 · 2001-07-26 · math-ph · math.CO · 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{NFK5FQTRAR6IUQ6ZS26BTQF7YO}

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	2026-05-18T01:38:34.466499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6955d2c271047c8a43d996bc19c0bfc3a667f40ddf7cff97ea03cd66329deace

Aliases

arxiv: math-ph/0107026 · arxiv_version: math-ph/0107026v1 · doi: 10.48550/arxiv.math-ph/0107026 · pith_short_12: NFK5FQTRAR6I · pith_short_16: NFK5FQTRAR6IUQ6Z · pith_short_8: NFK5FQTR

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/NFK5FQTRAR6IUQ6ZS26BTQF7YO \
  | 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: 6955d2c271047c8a43d996bc19c0bfc3a667f40ddf7cff97ea03cd66329deace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "890dddccc43f4fd92a0ef441a59386b7c604a54e1cec3ed077e095ae1915f378",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-07-26T15:02:34Z",
    "title_canon_sha256": "deb5a9899e0175d94496929d8f81ce74d9d304f94df2dcb523ce15a09b7bc635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0107026",
    "kind": "arxiv",
    "version": 1
  }
}