Pith Number

pith:NXCQQ3TR

pith:2004:NXCQQ3TRGKKSDCCOPAEHCMLUJB

not attested not anchored not stored refs pending

Spin, Statistics, and Reflections, I. Rotation Invariance

Bernd Kuckert

arxiv:hep-th/0412060 v4 · 2004-12-07 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXCQQ3TRGKKSDCCOPAEHCMLUJB}

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	2026-05-18T04:35:22.970913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc5086e71329521884e78087131744854fe63e2789679a0928f469af26d1c80

Aliases

arxiv: hep-th/0412060 · arxiv_version: hep-th/0412060v4 · doi: 10.48550/arxiv.hep-th/0412060 · pith_short_12: NXCQQ3TRGKKS · pith_short_16: NXCQQ3TRGKKSDCCO · pith_short_8: NXCQQ3TR

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/NXCQQ3TRGKKSDCCOPAEHCMLUJB \
  | 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: 6dc5086e71329521884e78087131744854fe63e2789679a0928f469af26d1c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ceea6d2e1f82f4cfd07af48b259bb5c01e47a2330c9c4f0298ff3ef8a82618f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-07T13:43:46Z",
    "title_canon_sha256": "f530584eb73e60bc80fe55c68ebe2bf8269b6f799a50d2e22c177464cf0fb6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412060",
    "kind": "arxiv",
    "version": 4
  }
}