Pith Number

pith:PJ445N66

pith:2015:PJ445N667NPS7UNAT5M7A5H2SW

not attested not anchored not stored refs pending

Geometry of Area Without Length

Pei-Ming Ho, Takeo Inami

arxiv:1508.05569 v2 · 2015-08-23 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ445N667NPS7UNAT5M7A5H2SW}

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	2026-05-18T01:12:18.328577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a79ceb7defb5f2fd1a09f59f074fa959a88445bba1c06845da42e488f0e55e9

Aliases

arxiv: 1508.05569 · arxiv_version: 1508.05569v2 · doi: 10.48550/arxiv.1508.05569 · pith_short_12: PJ445N667NPS · pith_short_16: PJ445N667NPS7UNA · pith_short_8: PJ445N66

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/PJ445N667NPS7UNAT5M7A5H2SW \
  | 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: 7a79ceb7defb5f2fd1a09f59f074fa959a88445bba1c06845da42e488f0e55e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1755ebf8d70046655e018ed08fe05512ac6716f92798377d91dfc4d2bea8cb32",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-08-23T07:24:53Z",
    "title_canon_sha256": "6a783eef62b16a133d2cc45716271bfda79861ff1673a692f4fdb4a182f69e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05569",
    "kind": "arxiv",
    "version": 2
  }
}