Pith Number

pith:MULY2ZCV

pith:2007:MULY2ZCVRESLAWAP36C5HYOQZK

not attested not anchored not stored refs pending

Discrete Time Evolution and Energy Nonconservation in Noncommutative Physics

A. G. Martins, A. P. Balachandran, P. Teotonio-Sobrinho

arxiv:hep-th/0702076 v2 · 2007-02-09 · hep-th · gr-qc · hep-ph · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MULY2ZCVRESLAWAP36C5HYOQZK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:38:25.025327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65178d64558924b0580fdf85d3e1d0caa1c0a07719ceb7a058f64d26a0deb18f

Aliases

arxiv: hep-th/0702076 · arxiv_version: hep-th/0702076v2 · doi: 10.48550/arxiv.hep-th/0702076 · pith_short_12: MULY2ZCVRESL · pith_short_16: MULY2ZCVRESLAWAP · pith_short_8: MULY2ZCV

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/MULY2ZCVRESLAWAP36C5HYOQZK \
  | 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: 65178d64558924b0580fdf85d3e1d0caa1c0a07719ceb7a058f64d26a0deb18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3084d402b147b67bec5410d318628af5525b131023fa9400e00e344632e07288",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-02-09T20:23:41Z",
    "title_canon_sha256": "b792b95b52b0776b0b5b8d18b5e9ed348e8d1cb3432e2b59c16cf45eab6ea100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0702076",
    "kind": "arxiv",
    "version": 2
  }
}