Pith Number

pith:7KQUG6DC

pith:2012:7KQUG6DCETOLJSS6TNDXVVUH4R

not attested not anchored not stored refs pending

On the spectrum of the Page and the Chen-LeBrun-Weber metrics

Stuart James Hall, Thomas Murphy

arxiv:1206.5489 v4 · 2012-06-24 · math.DG · 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{7KQUG6DCETOLJSS6TNDXVVUH4R}

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	2026-05-18T02:59:45.188622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa143786224dcb4ca5e9b477ad687e46fe3dcb232abb3c2a7641f95ed69e586

Aliases

arxiv: 1206.5489 · arxiv_version: 1206.5489v4 · doi: 10.48550/arxiv.1206.5489 · pith_short_12: 7KQUG6DCETOL · pith_short_16: 7KQUG6DCETOLJSS6 · pith_short_8: 7KQUG6DC

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/7KQUG6DCETOLJSS6TNDXVVUH4R \
  | 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: faa143786224dcb4ca5e9b477ad687e46fe3dcb232abb3c2a7641f95ed69e586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01596ba481bbb68cc5eacf8e912ac451919d671f075f38fe74457c5c299682fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-24T13:16:14Z",
    "title_canon_sha256": "0920aa662aca74cb292de749dfd45cc8a8d742fe0e5a9cf7fc656e6bfc32f4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5489",
    "kind": "arxiv",
    "version": 4
  }
}