Pith Number

pith:FVAJ3FYS

pith:2015:FVAJ3FYSF6AQZFPNWZVIO6MATK

not attested not anchored not stored refs pending

On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities

Arnaud Marsiglietti, Artem Zvavitch, Galyna Livshyts, Piotr Nayar

arxiv:1504.04878 v3 · 2015-04-19 · 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{FVAJ3FYSF6AQZFPNWZVIO6MATK}

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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	2026-05-18T01:37:07.375805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d409d97122f810c95edb66a8779809a89e271ebcc633f695915bfc0cde7ec78

Aliases

arxiv: 1504.04878 · arxiv_version: 1504.04878v3 · doi: 10.48550/arxiv.1504.04878 · pith_short_12: FVAJ3FYSF6AQ · pith_short_16: FVAJ3FYSF6AQZFPN · pith_short_8: FVAJ3FYS

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/FVAJ3FYSF6AQZFPNWZVIO6MATK \
  | 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: 2d409d97122f810c95edb66a8779809a89e271ebcc633f695915bfc0cde7ec78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a6ecde7a914867a40590569778ce0c398719c54322a3123a87459063acb29d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-19T19:57:25Z",
    "title_canon_sha256": "ce3ea6c740ec3b40f0f92661f826e8b79f7e484b334b3ba2aa4dfcddcc27e823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04878",
    "kind": "arxiv",
    "version": 3
  }
}