Pith Number

pith:GAHBJGA3

pith:2015:GAHBJGA3DNLIJAMJSKN64DJASJ

not attested not anchored not stored refs pending

John's ellipsoid and the integral ratio of a log-concave function

Bernardo Gonz\'alez Merino, Carlos Hugo Jim\'enez, David Alonso-Guti\'errez, Rafael Villa

arxiv:1511.01266 v1 · 2015-11-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAHBJGA3DNLIJAMJSKN64DJASJ}

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	2026-05-18T01:01:42.817237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300e14981b1b56848189929bee0d2092731910d59b1aebe97c5d58b7611fd895

Aliases

arxiv: 1511.01266 · arxiv_version: 1511.01266v1 · doi: 10.48550/arxiv.1511.01266 · pith_short_12: GAHBJGA3DNLI · pith_short_16: GAHBJGA3DNLIJAMJ · pith_short_8: GAHBJGA3

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/GAHBJGA3DNLIJAMJSKN64DJASJ \
  | 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: 300e14981b1b56848189929bee0d2092731910d59b1aebe97c5d58b7611fd895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48cb7b5deb25de73273fafdbcdd6db3a1e62a66bb5986990330402f465b9a480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-04T10:04:39Z",
    "title_canon_sha256": "e974df6e51de21a3885ae065960331163fa920d070b3bc5d9a7db573456479f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01266",
    "kind": "arxiv",
    "version": 1
  }
}