Pith Number

pith:AAKNAQ4B

pith:2010:AAKNAQ4BX5DCYRVA2FW3AZP4P4

not attested not anchored not stored refs pending

Spectral gap for some invariant log-concave probability measures

Nolwen Huet (IMT)

arxiv:1003.4839 v3 · 2010-03-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAKNAQ4BX5DCYRVA2FW3AZP4P4}

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	2026-05-18T03:02:44.422332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0014d04381bf462c46a0d16db065fc7f0fa401e99f6c1270eaec8467064b6b87

Aliases

arxiv: 1003.4839 · arxiv_version: 1003.4839v3 · doi: 10.48550/arxiv.1003.4839 · pith_short_12: AAKNAQ4BX5DC · pith_short_16: AAKNAQ4BX5DCYRVA · pith_short_8: AAKNAQ4B

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/AAKNAQ4BX5DCYRVA2FW3AZP4P4 \
  | 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: 0014d04381bf462c46a0d16db065fc7f0fa401e99f6c1270eaec8467064b6b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33bcc7ff6b60f4ecb95e4eb82c3d99829dc0ccb23758dc99bce5c4887ea5ee6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-25T09:57:31Z",
    "title_canon_sha256": "2af496969bfb4b28e78eadcb7b218a1e3273fdb774aef50bf3407e70897b6674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4839",
    "kind": "arxiv",
    "version": 3
  }
}