Pith Number

pith:P36US4ZX

pith:2015:P36US4ZX7MN6MLSKLBMV5R2YHI

not attested not anchored not stored refs pending

Gravitational lensing of wormholes in noncommutative geometry

Peter K.F. Kuhfittig

arxiv:1501.06085 v5 · 2015-01-24 · 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{P36US4ZX7MN6MLSKLBMV5R2YHI}

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	2026-05-18T01:09:07.160365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efd497337fb1be62e4a58595ec7583a01ed54e7a469dd8aa0e727ef927bf0b3

Aliases

arxiv: 1501.06085 · arxiv_version: 1501.06085v5 · doi: 10.48550/arxiv.1501.06085 · pith_short_12: P36US4ZX7MN6 · pith_short_16: P36US4ZX7MN6MLSK · pith_short_8: P36US4ZX

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/P36US4ZX7MN6MLSKLBMV5R2YHI \
  | 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: 7efd497337fb1be62e4a58595ec7583a01ed54e7a469dd8aa0e727ef927bf0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a0d87e17cef91e67336315ff63d0ad20b58fc8956fd3f0feaf5b639bef78e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-24T21:43:40Z",
    "title_canon_sha256": "de492a0ed3e9c71b7f789f1419a1f911da8939b7346c783655f7fa037b3a9ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06085",
    "kind": "arxiv",
    "version": 5
  }
}