Pith Number

pith:ZAE3TJMD

pith:1997:ZAE3TJMDKYQM2H4CLMDRBUI43C

not attested not anchored not stored refs pending

A Closed Contour of Integration in Regge Calculus

Danny Birmingham

arxiv:gr-qc/9710070 v1 · 1997-10-14 · 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{ZAE3TJMDKYQM2H4CLMDRBUI43C}

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	2026-05-18T01:39:18.859372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c809b9a5835620cd1f825b0710d11cd89231b0de71b50c8848ef6d2106428dd0

Aliases

arxiv: gr-qc/9710070 · arxiv_version: gr-qc/9710070v1 · doi: 10.48550/arxiv.gr-qc/9710070 · pith_short_12: ZAE3TJMDKYQM · pith_short_16: ZAE3TJMDKYQM2H4C · pith_short_8: ZAE3TJMD

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/ZAE3TJMDKYQM2H4CLMDRBUI43C \
  | 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: c809b9a5835620cd1f825b0710d11cd89231b0de71b50c8848ef6d2106428dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a15fb476ff663577e6bae3c194d23fc6da1e79257a24204e54236e337b8db8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-10-14T10:48:50Z",
    "title_canon_sha256": "98d92fe05a4aaf20e8fba9629605d40e9ff4edb0eed741f984de5e47b41cd654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9710070",
    "kind": "arxiv",
    "version": 1
  }
}