Pith Number

pith:TGPM34V6

pith:2012:TGPM34V6LM37YHZKYVCEH6LT6T

not attested not anchored not stored refs pending

Spin and Rotations in Galois Field Quantum Mechanics

Djordje Minic, Lay Nam Chang, Tatsu Takeuchi, Zachary Lewis

arxiv:1206.0064 v3 · 2012-06-01 · quant-ph · 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{TGPM34V6LM37YHZKYVCEH6LT6T}

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	2026-05-18T03:34:35.524037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073

Aliases

arxiv: 1206.0064 · arxiv_version: 1206.0064v3 · doi: 10.48550/arxiv.1206.0064 · pith_short_12: TGPM34V6LM37 · pith_short_16: TGPM34V6LM37YHZK · pith_short_8: TGPM34V6

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/TGPM34V6LM37YHZKYVCEH6LT6T \
  | 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: 999ecdf2be5b37fc1f2ac54443f973f4f14f0c536a3c40db79bb32cba2c75073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4911e71d68c5fdc439ff993a9db20eabbb4099c2f2cdedd97ed895306b3f0b87",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-01T01:50:16Z",
    "title_canon_sha256": "205f4213ebd17deef152cebac07de8bfe9ab5192da5bf355399e3582251ced6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0064",
    "kind": "arxiv",
    "version": 3
  }
}