Pith Number

pith:QH4JL3VF

pith:2012:QH4JL3VFUFTYAVRL6ZW7L3OSOE

not attested not anchored not stored refs pending

A Proof of Bobkov's Spectral Bound For Convex Domains via Gaussian Fitting and Free Energy Estimation

Emanuel Milman

arxiv:1202.0965 v1 · 2012-02-05 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QH4JL3VFUFTYAVRL6ZW7L3OSOE}

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	2026-05-18T04:03:05.618667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f895eea5a16780562bf66df5edd2711f65f6f4db74b034a093ecf70ce072c2

Aliases

arxiv: 1202.0965 · arxiv_version: 1202.0965v1 · doi: 10.48550/arxiv.1202.0965 · pith_short_12: QH4JL3VFUFTY · pith_short_16: QH4JL3VFUFTYAVRL · pith_short_8: QH4JL3VF

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/QH4JL3VFUFTYAVRL6ZW7L3OSOE \
  | 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: 81f895eea5a16780562bf66df5edd2711f65f6f4db74b034a093ecf70ce072c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09565a5b474dafa39afc765a3e7f9a7ceb1b508dd75d0c5c276fa8d9b9fbc6a6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-05T14:21:16Z",
    "title_canon_sha256": "d36422aeabac67b3941bd40fdff26667735fc7ae5ccd4e22e6f8dd34adc7cb92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0965",
    "kind": "arxiv",
    "version": 1
  }
}