Pith Number

pith:7BJTBD6Y

pith:2011:7BJTBD6YZY63DRQY3L6KWDX7NJ

not attested not anchored not stored refs pending

Lipschitz-Volume rigidity in Alexandrov geometry

Nan Li

arxiv:1110.5498 v7 · 2011-10-25 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BJTBD6YZY63DRQY3L6KWDX7NJ}

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	2026-05-18T01:41:00.363351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f853308fd8ce3db1c618dafcab0eff6a5046c8f08474dd8a75eabf23dafb181d

Aliases

arxiv: 1110.5498 · arxiv_version: 1110.5498v7 · doi: 10.48550/arxiv.1110.5498 · pith_short_12: 7BJTBD6YZY63 · pith_short_16: 7BJTBD6YZY63DRQY · pith_short_8: 7BJTBD6Y

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/7BJTBD6YZY63DRQY3L6KWDX7NJ \
  | 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: f853308fd8ce3db1c618dafcab0eff6a5046c8f08474dd8a75eabf23dafb181d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16818096eab9ab935f34d555008161f1ba21e3cd299a71fd8616c12ca608ede",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-25T13:35:37Z",
    "title_canon_sha256": "dfc1f522efc920e017a419bf2475d4b256d3e8b4c8e17faff71e6307745a75b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5498",
    "kind": "arxiv",
    "version": 7
  }
}