Pith Number

pith:YEXD4UMD

pith:2019:YEXD4UMDZYXRCTZSBTHEMGGKHL

not attested not anchored not stored refs pending

Asymptotic estimates for the largest volume ratio of a convex body

Dami\'an Pinasco, Daniel Galicer, Mariano Merzbacher

arxiv:1901.00771 v4 · 2019-01-03 · math.MG · 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{YEXD4UMDZYXRCTZSBTHEMGGKHL}

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	2026-07-05T00:55:56.018651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12e3e5183ce2f114f320cce4618ca3ad4d482e2b5b253061e9032ef37046d82

Aliases

arxiv: 1901.00771 · arxiv_version: 1901.00771v4 · doi: 10.48550/arxiv.1901.00771 · pith_short_12: YEXD4UMDZYXR · pith_short_16: YEXD4UMDZYXRCTZS · pith_short_8: YEXD4UMD

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/YEXD4UMDZYXRCTZSBTHEMGGKHL \
  | 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: c12e3e5183ce2f114f320cce4618ca3ad4d482e2b5b253061e9032ef37046d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d675b9733e6ab5e3952281900553850ff9fdd6f7eac2d0594fff6437d5352e78",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-01-03T14:39:18Z",
    "title_canon_sha256": "db9230d9fd3c753d8772c561ffec41a9ba6fd5d87efb147acfeca4a74f5b3eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00771",
    "kind": "arxiv",
    "version": 4
  }
}