Pith Number

pith:4UZ4TFFY

pith:2017:4UZ4TFFYETDR7DT5ZIW2O4DE52

not attested not anchored not stored refs pending

Catching homologies by geometric entropy

D. Felice, M. Pettini, R. Franzosi, S. Mancini

arxiv:1703.07369 v1 · 2017-03-21 · 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{4UZ4TFFYETDR7DT5ZIW2O4DE52}

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	2026-05-18T00:27:46.915401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e533c994b824c71f8e7dca2da77064ee80f4435a57e2b5d5009308f59d58a838

Aliases

arxiv: 1703.07369 · arxiv_version: 1703.07369v1 · doi: 10.48550/arxiv.1703.07369 · pith_short_12: 4UZ4TFFYETDR · pith_short_16: 4UZ4TFFYETDR7DT5 · pith_short_8: 4UZ4TFFY

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/4UZ4TFFYETDR7DT5ZIW2O4DE52 \
  | 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: e533c994b824c71f8e7dca2da77064ee80f4435a57e2b5d5009308f59d58a838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1dfab60e2cc44657e7f6f2ddc0f3d56515edd808762ea3983db707bbfb6420",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-21T18:03:10Z",
    "title_canon_sha256": "857a23ed37788bd4980d14d4385e9f91c3c43fc0eb21119066981a3b1af1d91b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07369",
    "kind": "arxiv",
    "version": 1
  }
}