Pith Number

pith:5LA7NTHF

pith:2019:5LA7NTHFDT5NEIECMB3SID3BRO

not attested not anchored not stored refs pending

Spectrality of polytopes and equidecomposability by translations

Bochen Liu, Nir Lev

arxiv:1902.00876 v2 · 2019-02-03 · math.CA · math.CO · 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{5LA7NTHFDT5NEIECMB3SID3BRO}

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	2026-07-05T00:16:32.597768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac1f6cce51cfad220826077240f618b9e8e4583037cac547bea5327c4d80008

Aliases

arxiv: 1902.00876 · arxiv_version: 1902.00876v2 · doi: 10.48550/arxiv.1902.00876 · pith_short_12: 5LA7NTHFDT5N · pith_short_16: 5LA7NTHFDT5NEIEC · pith_short_8: 5LA7NTHF

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/5LA7NTHFDT5NEIECMB3SID3BRO \
  | 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: eac1f6cce51cfad220826077240f618b9e8e4583037cac547bea5327c4d80008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384f7a9ba403ceebc58f5b12dc56576c33c27227184999be7d72ce5f7da2a384",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-03T10:49:27Z",
    "title_canon_sha256": "1d9743f5da6e9f544785db1927f3f5da722d8d6dd2491f9f70d5552e2593671b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00876",
    "kind": "arxiv",
    "version": 2
  }
}