Pith Number

pith:TOHZNTOL

pith:2012:TOHZNTOLUTKOSE55F5YCYWADVP

not attested not anchored not stored refs pending

Why is the Legendre Transformation Involutive?

Harald Skarke

arxiv:1209.6193 v1 · 2012-09-27 · math-ph · cond-mat.stat-mech · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOHZNTOLUTKOSE55F5YCYWADVP}

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	2026-05-18T01:54:13.353199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b8f96cdcba4d4e913bd2f702c5803abe00907407c6e1597896ca03cc132b718

Aliases

arxiv: 1209.6193 · arxiv_version: 1209.6193v1 · doi: 10.48550/arxiv.1209.6193 · pith_short_12: TOHZNTOLUTKO · pith_short_16: TOHZNTOLUTKOSE55 · pith_short_8: TOHZNTOL

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/TOHZNTOLUTKOSE55F5YCYWADVP \
  | 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: 9b8f96cdcba4d4e913bd2f702c5803abe00907407c6e1597896ca03cc132b718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21680d3277ffdff42789d721637acf65f7d10a6437b44e743cbb5eb5be013d5e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-27T11:39:31Z",
    "title_canon_sha256": "f478324447f05fa77e4cce99bcc505c38289da0e8eb22e0c3f01186b84a4bf02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6193",
    "kind": "arxiv",
    "version": 1
  }
}