Pith Number

pith:TQLMFPEI

pith:2010:TQLMFPEIXRIO2XPBH6ZXQ3NZ5S

not attested not anchored not stored refs pending

Spin Path Integrals and Generations

C. A. Brannen

arxiv:1006.3114 v1 · 2010-06-16 · physics.gen-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQLMFPEIXRIO2XPBH6ZXQ3NZ5S}

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.

Cited by

2 papers in Pith

A minimization theorem for the Koide ratio and its Standard Model calibration

Receipt and verification

First computed	2026-05-18T04:34:27.421376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c16c2bc88bc50ed5de13fb3786db9ec9001b297844f89dc381ca780b98aada6

Aliases

arxiv: 1006.3114 · arxiv_version: 1006.3114v1 · doi: 10.48550/arxiv.1006.3114 · pith_short_12: TQLMFPEIXRIO · pith_short_16: TQLMFPEIXRIO2XPB · pith_short_8: TQLMFPEI

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/TQLMFPEIXRIO2XPBH6ZXQ3NZ5S \
  | 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: 9c16c2bc88bc50ed5de13fb3786db9ec9001b297844f89dc381ca780b98aada6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6757da949c33a61d7744662ed95c6eea863e7a6582bc77ac61fd6a80cc599831",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-06-16T00:35:06Z",
    "title_canon_sha256": "abe7b9c7828543897f6c5b3f4eeb9eccc42d09940e1d2f4af0bcbb5549361456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3114",
    "kind": "arxiv",
    "version": 1
  }
}