Pith Number

pith:PNJSXBI4

pith:2012:PNJSXBI4J2I4BIV7SXGSVOOUBL

not attested not anchored not stored refs pending

Color and Isospin Waves from Tetrahedral Shubnikov Groups

Bodo Lampe

arxiv:1212.0753 v2 · 2012-11-29 · hep-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{PNJSXBI4J2I4BIV7SXGSVOOUBL}

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	2026-05-18T03:06:34.610513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b532b851c4e91c0a2bf95cd2ab9d40ad12e7bdc1a534c9c6625fa424f85aa74

Aliases

arxiv: 1212.0753 · arxiv_version: 1212.0753v2 · doi: 10.48550/arxiv.1212.0753 · pith_short_12: PNJSXBI4J2I4 · pith_short_16: PNJSXBI4J2I4BIV7 · pith_short_8: PNJSXBI4

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/PNJSXBI4J2I4BIV7SXGSVOOUBL \
  | 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: 7b532b851c4e91c0a2bf95cd2ab9d40ad12e7bdc1a534c9c6625fa424f85aa74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b37e7bc670aed1a3922375f9e649119c4593db300dc9eb74465f32ece71803",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-11-29T16:34:25Z",
    "title_canon_sha256": "6016d5b909f375018c0fac95e56f16371be75d227fccdd4e0c9c5ae30ac46844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0753",
    "kind": "arxiv",
    "version": 2
  }
}