Pith Number

pith:SP67YRM7

pith:1993:SP67YRM7THEI7ATGBS6SVR4WDF

not attested not anchored not stored refs pending

Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge

Piotr Koc

arxiv:gr-qc/9304017 v1 · 1993-04-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP67YRM7THEI7ATGBS6SVR4WDF}

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	2026-07-04T14:25:59.428115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fdfc459f99c88f82660cbd2ac79619401523bf0753dc5aa17334fce6df9c19

Aliases

arxiv: gr-qc/9304017 · arxiv_version: gr-qc/9304017v1 · doi: 10.48550/arxiv.gr-qc/9304017 · pith_short_12: SP67YRM7THEI · pith_short_16: SP67YRM7THEI7ATG · pith_short_8: SP67YRM7

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/SP67YRM7THEI7ATGBS6SVR4WDF \
  | 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: 93fdfc459f99c88f82660cbd2ac79619401523bf0753dc5aa17334fce6df9c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a7f34c60692689744a87b69e4195b7703ccfa988ced25e511141ddf7e4d8f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-04-14T10:48:18Z",
    "title_canon_sha256": "a3ea0c40e2701dd5b37fd334d40d98734acfba7b00ba92f03db7f84e1c64d764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9304017",
    "kind": "arxiv",
    "version": 1
  }
}