Pith Number

pith:E3KLMQEP

pith:2011:E3KLMQEPXIM7UKMOHHT22MMK5B

not attested not anchored not stored refs pending

Compact bordered Riemannian surfaces as vibrating membranes: an estimate \`a la Hersch-Yang-Yau-Fraser-Schoen

Alexandre Gabard

arxiv:1105.3949 v1 · 2011-05-19 · math.GT · 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{E3KLMQEPXIM7UKMOHHT22MMK5B}

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	2026-05-18T04:21:51.024642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d4b6408fba19fa298e39e7ad318ae85c67af0182abd798dc7129db5660666a

Aliases

arxiv: 1105.3949 · arxiv_version: 1105.3949v1 · doi: 10.48550/arxiv.1105.3949 · pith_short_12: E3KLMQEPXIM7 · pith_short_16: E3KLMQEPXIM7UKMO · pith_short_8: E3KLMQEP

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/E3KLMQEPXIM7UKMOHHT22MMK5B \
  | 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: 26d4b6408fba19fa298e39e7ad318ae85c67af0182abd798dc7129db5660666a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba4567305f6856a413d5acf6ab90687ea3b5eaf0e655eb65d368ebbca3c3ffa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-19T18:07:51Z",
    "title_canon_sha256": "b163010569921555057630a4ad3e78989a8c0f42f1a0c22e9caa86977cab5eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3949",
    "kind": "arxiv",
    "version": 1
  }
}