Pith Number

pith:NV4QFB4V

pith:2011:NV4QFB4V6WN6WY2HXFUSTEILEH

not attested not anchored not stored refs pending

Are there Contact Transformations for Discrete Equations?

Decio Levi, Pavel Winternitz, Zora Thomova

arxiv:1102.2949 v1 · 2011-02-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NV4QFB4V6WN6WY2HXFUSTEILEH}

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	2026-05-18T00:38:18.994548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d79028795f59beb6347b96929910b21fe980a0513aa1483c7dee73f5fc666fc

Aliases

arxiv: 1102.2949 · arxiv_version: 1102.2949v1 · doi: 10.48550/arxiv.1102.2949 · pith_short_12: NV4QFB4V6WN6 · pith_short_16: NV4QFB4V6WN6WY2H · pith_short_8: NV4QFB4V

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/NV4QFB4V6WN6WY2HXFUSTEILEH \
  | 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: 6d79028795f59beb6347b96929910b21fe980a0513aa1483c7dee73f5fc666fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd39bdb1c4badb34df608feca09ffed55332c9d89bc28dd7b5e3490c05eb122",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-15T02:39:44Z",
    "title_canon_sha256": "1e317735d8fbe560dbfcf8c0cdbeb7f594f26a37eac990c0d3bf5d541677dd2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2949",
    "kind": "arxiv",
    "version": 1
  }
}