Pith Number

pith:IWB56IA2

pith:2018:IWB56IA2K362F7AQXTPOIGXC2R

not attested not anchored not stored refs pending

$L_p$ Minkowski Valuations on polytopes

Gangsong Leng, Jin Li

arxiv:1802.07561 v1 · 2018-02-21 · 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{IWB56IA2K362F7AQXTPOIGXC2R}

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	2026-05-18T00:22:49.908845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4583df201a56fda2fc10bcdee41ae2d466a9685fe8b13e479d9933c3de8dea11

Aliases

arxiv: 1802.07561 · arxiv_version: 1802.07561v1 · doi: 10.48550/arxiv.1802.07561 · pith_short_12: IWB56IA2K362 · pith_short_16: IWB56IA2K362F7AQ · pith_short_8: IWB56IA2

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/IWB56IA2K362F7AQXTPOIGXC2R \
  | 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: 4583df201a56fda2fc10bcdee41ae2d466a9685fe8b13e479d9933c3de8dea11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732125b8a0662ddd330a1f104898715fa97ae7aa7b262776b5f81353ffc3f542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-02-21T13:27:48Z",
    "title_canon_sha256": "aaa02a0d0b2e79c184f633968312ade9c1c2e6dff40c965d7de820a0a8bbfe47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07561",
    "kind": "arxiv",
    "version": 1
  }
}