Pith Number

pith:ZMV3Y6NP

pith:2011:ZMV3Y6NPLSNVW74GFRSVLVOYFH

not attested not anchored not stored refs pending

Warped product rigidity

Chenxu He, Peter Petersen, William Wylie

arxiv:1110.2455 v2 · 2011-10-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMV3Y6NPLSNVW74GFRSVLVOYFH}

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	2026-05-18T03:34:46.239139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2bbc79af5c9b5b7f862c6555d5d829d3b396b9ed1bbb4111ae75fa3380951a

Aliases

arxiv: 1110.2455 · arxiv_version: 1110.2455v2 · doi: 10.48550/arxiv.1110.2455 · pith_short_12: ZMV3Y6NPLSNV · pith_short_16: ZMV3Y6NPLSNVW74G · pith_short_8: ZMV3Y6NP

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/ZMV3Y6NPLSNVW74GFRSVLVOYFH \
  | 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: cb2bbc79af5c9b5b7f862c6555d5d829d3b396b9ed1bbb4111ae75fa3380951a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b8ddd8ef352d538448d50780f36adf9176238bd8006122f117e2af72836e40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-11T17:48:45Z",
    "title_canon_sha256": "e6c255dc9d60a4a4c7d73a1509915f1403187c2c8a562f1a674e336706abbc06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2455",
    "kind": "arxiv",
    "version": 2
  }
}