Pith Number

pith:K4T2K2FW

pith:2011:K4T2K2FWMYM36LN36WHBQJ3QPZ

not attested not anchored not stored refs pending

Status of the differential transformation method

C. Bervillier

arxiv:1111.7149 v2 · 2011-11-30 · 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{K4T2K2FWMYM36LN36WHBQJ3QPZ}

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	2026-05-18T03:29:14.033147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5727a568b66619bf2dbbf58e1827707e7e77ccb76300fd4211b2829768ee43a9

Aliases

arxiv: 1111.7149 · arxiv_version: 1111.7149v2 · doi: 10.48550/arxiv.1111.7149 · pith_short_12: K4T2K2FWMYM3 · pith_short_16: K4T2K2FWMYM36LN3 · pith_short_8: K4T2K2FW

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/K4T2K2FWMYM36LN36WHBQJ3QPZ \
  | 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: 5727a568b66619bf2dbbf58e1827707e7e77ccb76300fd4211b2829768ee43a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927e0ecba4a1909d46c7695d8eedd12a161b306be5b34c04327bffb705c50cd9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-30T13:08:03Z",
    "title_canon_sha256": "8359c3987bfa5146f9a141b69538b3208b147aed9ce0daf0f15a5b51679c89fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7149",
    "kind": "arxiv",
    "version": 2
  }
}