Pith Number

pith:X6A3BFAE

pith:2005:X6A3BFAEXJ2JCEXPGW76PWGGF7

not attested not anchored not stored refs pending

Waves on Noncommutative Spacetimes

A. P. Balachandran, Kumar S. Gupta, S. Kurkcuoglu

arxiv:hep-th/0503087 v2 · 2005-03-10 · hep-th · gr-qc · hep-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{X6A3BFAEXJ2JCEXPGW76PWGGF7}

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	2026-07-04T14:48:31.854632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf81b09404ba749112ef35bfe7d8c62ffa98dd563d6e2a93aabf96a8082c4679

Aliases

arxiv: hep-th/0503087 · arxiv_version: hep-th/0503087v2 · doi: 10.48550/arxiv.hep-th/0503087 · pith_short_12: X6A3BFAEXJ2J · pith_short_16: X6A3BFAEXJ2JCEXP · pith_short_8: X6A3BFAE

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/X6A3BFAEXJ2JCEXPGW76PWGGF7 \
  | 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: bf81b09404ba749112ef35bfe7d8c62ffa98dd563d6e2a93aabf96a8082c4679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71dd46586ac2a01b990f92a7b6243927d54fc2920da13bc1d2268004caf7a77a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-03-10T12:53:12Z",
    "title_canon_sha256": "772e1d045e64158aa80d764bbba2fdd42be8efdf4224f0b3a3811e16acdf3c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0503087",
    "kind": "arxiv",
    "version": 2
  }
}