Pith Number

pith:HNTYGISX

pith:1993:HNTYGISXZXNCIYYVWXSETQGUHO

not attested not anchored not stored refs pending

Properties of 3-manifolds for relativists

Domenico Giulini

arxiv:gr-qc/9308008 v1 · 1993-08-09 · 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{HNTYGISXZXNCIYYVWXSETQGUHO}

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	2026-05-18T01:39:19.847714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b67832257cdda246315b5e449c0d43bb96f4b76fc3d3d6721d4e710ef8c9dff

Aliases

arxiv: gr-qc/9308008 · arxiv_version: gr-qc/9308008v1 · doi: 10.48550/arxiv.gr-qc/9308008 · pith_short_12: HNTYGISXZXNC · pith_short_16: HNTYGISXZXNCIYYV · pith_short_8: HNTYGISX

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/HNTYGISXZXNCIYYVWXSETQGUHO \
  | 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: 3b67832257cdda246315b5e449c0d43bb96f4b76fc3d3d6721d4e710ef8c9dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef57761ec380b68b9213a7857d62cc93c4881ae51ca367794072833c0671340a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-08-09T19:43:15Z",
    "title_canon_sha256": "6298bccc14ee5b03d784d35c75e5aecbcaf2e3b874e5f2bbd2b959fad923f818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9308008",
    "kind": "arxiv",
    "version": 1
  }
}