Pith Number

pith:ESUF7Z2L

pith:2011:ESUF7Z2LXISV2EU6YC7TU2ZQG2

not attested not anchored not stored refs pending

Volume growth of submanifolds and the Cheeger Isoperimetric Constant

Vicente Palmer, Vicent Gimeno

arxiv:1104.5625 v2 · 2011-04-29 · 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{ESUF7Z2LXISV2EU6YC7TU2ZQG2}

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	2026-05-18T03:58:04.594102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a85fe74bba255d129ec0bf3a6b3036ad5762d91a2d56b840479b1548f53f9d

Aliases

arxiv: 1104.5625 · arxiv_version: 1104.5625v2 · doi: 10.48550/arxiv.1104.5625 · pith_short_12: ESUF7Z2LXISV · pith_short_16: ESUF7Z2LXISV2EU6 · pith_short_8: ESUF7Z2L

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/ESUF7Z2LXISV2EU6YC7TU2ZQG2 \
  | 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: 24a85fe74bba255d129ec0bf3a6b3036ad5762d91a2d56b840479b1548f53f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b59166624ef7edfd1e7c484d2f38a959d714351e75be30e989e62e36b8f008",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-29T13:30:17Z",
    "title_canon_sha256": "b9f0fc881f1b524096fc0d2aaa9346c98b037c34c629fad2fd42fc4c6d27f28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5625",
    "kind": "arxiv",
    "version": 2
  }
}