Pith Number

pith:4UKV57T5

pith:2015:4UKV57T5CFAT2XJN7MPCLFBCI4

not attested not anchored not stored refs pending

Volume inequalities for asymmetric Orlicz zonotopes

Congli Yang, Fangwei Chen, Miao Luo

arxiv:1502.06848 v1 · 2015-01-07 · 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{4UKV57T5CFAT2XJN7MPCLFBCI4}

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	2026-05-18T02:26:24.425153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5155efe7d11413d5d2dfb1e259422472625cb661b545d48686e6822853f4f1d

Aliases

arxiv: 1502.06848 · arxiv_version: 1502.06848v1 · doi: 10.48550/arxiv.1502.06848 · pith_short_12: 4UKV57T5CFAT · pith_short_16: 4UKV57T5CFAT2XJN · pith_short_8: 4UKV57T5

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/4UKV57T5CFAT2XJN7MPCLFBCI4 \
  | 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: e5155efe7d11413d5d2dfb1e259422472625cb661b545d48686e6822853f4f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5257ad94b30fdd6c3db5d907f0f5c32df9a2e1335098373a5af088d596d00f07",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-07T17:17:29Z",
    "title_canon_sha256": "8942eaa491a0b845bdf8cb04b73ac3cfc6f229fb07f29afba23d69afce2cfc18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06848",
    "kind": "arxiv",
    "version": 1
  }
}