Pith Number

pith:XWZIAGIJ

pith:2013:XWZIAGIJ3XGQBOHLP66EKLMXXY

not attested not anchored not stored refs pending

Aleksandrov-Fenchel inequality for coconvex bodies

Askold Khovanskii, Vladlen Timorin

arxiv:1305.4484 v1 · 2013-05-20 · math.MG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWZIAGIJ3XGQBOHLP66EKLMXXY}

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	2026-05-18T03:25:23.582094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb2801909ddcd00b8eb7fbc452d97be088345f70cf393e34a965317a7ab2724

Aliases

arxiv: 1305.4484 · arxiv_version: 1305.4484v1 · doi: 10.48550/arxiv.1305.4484 · pith_short_12: XWZIAGIJ3XGQ · pith_short_16: XWZIAGIJ3XGQBOHL · pith_short_8: XWZIAGIJ

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/XWZIAGIJ3XGQBOHLP66EKLMXXY \
  | 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: bdb2801909ddcd00b8eb7fbc452d97be088345f70cf393e34a965317a7ab2724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4340ea4a200add15bdb438991297d0a6f6db35985d6a399d7d2b3bd77de59e1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-05-20T10:09:31Z",
    "title_canon_sha256": "8d0ecc1d4c6d293de685926dc111e953a5ce454b99ff5338e32ad12d401f9c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4484",
    "kind": "arxiv",
    "version": 1
  }
}