Pith Number

pith:GNKZUMDZ

pith:2011:GNKZUMDZQ73ORE7DATXSQ5D3TY

not attested not anchored not stored refs pending

Contact transformations for difference schemes

Decio Levi, Pavel Winternitz, Zora Thomova

arxiv:1110.3409 v1 · 2011-10-15 · math-ph · math.GR · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNKZUMDZQ73ORE7DATXSQ5D3TY}

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	2026-05-18T02:00:12.023766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33559a307987f6e893e304ef28747b9e2d8539ca24dcd81d23dc75dde526b80c

Aliases

arxiv: 1110.3409 · arxiv_version: 1110.3409v1 · doi: 10.48550/arxiv.1110.3409 · pith_short_12: GNKZUMDZQ73O · pith_short_16: GNKZUMDZQ73ORE7D · pith_short_8: GNKZUMDZ

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/GNKZUMDZQ73ORE7DATXSQ5D3TY \
  | 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: 33559a307987f6e893e304ef28747b9e2d8539ca24dcd81d23dc75dde526b80c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882bb516e3a2fe7f1781ee7e24641ebcc7b095d49b66496e1fc86f491589781f",
    "cross_cats_sorted": [
      "math.GR",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-15T12:59:16Z",
    "title_canon_sha256": "585cdcccab4e1cd2cc2122c9e98f502888e4c18d341c13746d0180005edb90f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3409",
    "kind": "arxiv",
    "version": 1
  }
}