Pith Number

pith:2RW6WVTJ

pith:2014:2RW6WVTJH55SBNG4B7UMTZC6DD

not attested not anchored not stored refs pending

A generalization of the discrete version of Minkowski's fundamental theorem

Bernardo Gonz\'alez Merino, Matthias Henze

arxiv:1412.3315 v2 · 2014-12-10 · math.CO · 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{2RW6WVTJH55SBNG4B7UMTZC6DD}

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	2026-05-18T01:19:30.554958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46deb56693f7b20b4dc0fe8c9e45e18cb6aabbbe13e3cddf5866a282c8d8ef6

Aliases

arxiv: 1412.3315 · arxiv_version: 1412.3315v2 · doi: 10.48550/arxiv.1412.3315 · pith_short_12: 2RW6WVTJH55S · pith_short_16: 2RW6WVTJH55SBNG4 · pith_short_8: 2RW6WVTJ

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/2RW6WVTJH55SBNG4B7UMTZC6DD \
  | 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: d46deb56693f7b20b4dc0fe8c9e45e18cb6aabbbe13e3cddf5866a282c8d8ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d04a4e2f31ccaea557492e04d09193a9b97a7d2600787892ffe09dee4fc7d81d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-10T14:23:19Z",
    "title_canon_sha256": "26237b60e33b2b6fbd501989057b59bc059eca88ba9c07e5cb73a80d405b58e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3315",
    "kind": "arxiv",
    "version": 2
  }
}