Pith Number

pith:CLYZ5TJ3

pith:2014:CLYZ5TJ32D6LMKWMZX3FZPW65H

not attested not anchored not stored refs pending

Homometry and direct-sum decompositions of lattice-convex sets

Barbara Langfeld, Gennadiy Averkov

arxiv:1412.7676 v2 · 2014-12-23 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLYZ5TJ32D6LMKWMZX3FZPW65H}

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	2026-05-18T01:15:00.489120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f19ecd3bd0fcb62acccdf65cbedee9d9fd07d6a43029b73d24ffba99daabca

Aliases

arxiv: 1412.7676 · arxiv_version: 1412.7676v2 · doi: 10.48550/arxiv.1412.7676 · pith_short_12: CLYZ5TJ32D6L · pith_short_16: CLYZ5TJ32D6LMKWM · pith_short_8: CLYZ5TJ3

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/CLYZ5TJ32D6LMKWMZX3FZPW65H \
  | 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: 12f19ecd3bd0fcb62acccdf65cbedee9d9fd07d6a43029b73d24ffba99daabca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10815a0e6a018044645de3c0f59154efeb81c7b393868319795db053c6d0a223",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-23T14:58:18Z",
    "title_canon_sha256": "cbaedef3cf2b248550ec7489406e89f6f563f70ae626a16f4fb423f3a7abff18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7676",
    "kind": "arxiv",
    "version": 2
  }
}