Pith Number

pith:7XOMHYR7

pith:2010:7XOMHYR7NAYCMBWAE4K5VBOG34

not attested not anchored not stored refs pending

Isoperimetric control of the spectrum of a compact hypersurface

Ahmad El Soufi (LMPT), Alexandre Girouard, Bruno Colbois

arxiv:1007.0826 v2 · 2010-07-06 · 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{7XOMHYR7NAYCMBWAE4K5VBOG34}

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	2026-05-18T02:42:46.872515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddcc3e23f68302606c02715da85c6df05b69b6a6ede1a1cc00a2edacc5db3e8

Aliases

arxiv: 1007.0826 · arxiv_version: 1007.0826v2 · doi: 10.48550/arxiv.1007.0826 · pith_short_12: 7XOMHYR7NAYC · pith_short_16: 7XOMHYR7NAYCMBWA · pith_short_8: 7XOMHYR7

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/7XOMHYR7NAYCMBWAE4K5VBOG34 \
  | 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: fddcc3e23f68302606c02715da85c6df05b69b6a6ede1a1cc00a2edacc5db3e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307c5075e6b188ea97285ed8bac924533ab8f8dc6a76e6a67e369489eb5e21bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-07-06T07:56:53Z",
    "title_canon_sha256": "7f986e2aea1904e8a48583f91cfef6681814d993764f8fd366986f11e18b4af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0826",
    "kind": "arxiv",
    "version": 2
  }
}