Pith Number

pith:UBPGLVCR

pith:2009:UBPGLVCR2SCURWGW3A5DQLM6F2

not attested not anchored not stored refs pending

The singularity problem and phase-space noncanonical noncommutativity

Catarina Bastos, Jo\~ao Nuno Prata, Nuno Costa Dias, Orfeu Bertolami

arxiv:0912.4027 v1 · 2009-12-20 · hep-th · astro-ph.CO · gr-qc · 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{UBPGLVCR2SCURWGW3A5DQLM6F2}

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	2026-05-18T04:28:10.011059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05e65d451d48548d8d6d83a382d9e2ebd9e7423489cb5aabab06339dc93df4e

Aliases

arxiv: 0912.4027 · arxiv_version: 0912.4027v1 · doi: 10.48550/arxiv.0912.4027 · pith_short_12: UBPGLVCR2SCU · pith_short_16: UBPGLVCR2SCURWGW · pith_short_8: UBPGLVCR

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/UBPGLVCR2SCURWGW3A5DQLM6F2 \
  | 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: a05e65d451d48548d8d6d83a382d9e2ebd9e7423489cb5aabab06339dc93df4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37cb8e75a18550f374e3dae39ad7f2e250f387741379174c8c47a2b311d6db03",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-20T16:30:08Z",
    "title_canon_sha256": "2e15650b5ebec5b344e5b7f65b69a00fc944e9957ae7e36d3e3179bfa96edc52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4027",
    "kind": "arxiv",
    "version": 1
  }
}