Pith Number

pith:EPD4DAG6

pith:2013:EPD4DAG6DPNW765SHQZQ3RQV36

not attested not anchored not stored refs pending

\alpha-concave functions and a functional extension of mixed volumes

Liran Rotem, Vitali Milman

arxiv:1302.0823 v1 · 2013-02-04 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPD4DAG6DPNW765SHQZQ3RQV36}

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	2026-05-18T03:34:36.183245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c7c180de1bdb6ffbb23c330dc615dfa099a7c913e0955be2fb8d9eb957c7f9

Aliases

arxiv: 1302.0823 · arxiv_version: 1302.0823v1 · doi: 10.48550/arxiv.1302.0823 · pith_short_12: EPD4DAG6DPNW · pith_short_16: EPD4DAG6DPNW765S · pith_short_8: EPD4DAG6

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/EPD4DAG6DPNW765SHQZQ3RQV36 \
  | 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: 23c7c180de1bdb6ffbb23c330dc615dfa099a7c913e0955be2fb8d9eb957c7f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1aa83ead8af5afa6ff4ce497a2ce15f0dd1f5019911687fd5393ce243b7a152",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-04T20:14:46Z",
    "title_canon_sha256": "95befb346e050e7fa5df88fb4647f8d277ae2f5ba689f6e73c833b6251ce2e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0823",
    "kind": "arxiv",
    "version": 1
  }
}