Pith Number

pith:LRXY4UWD

pith:2015:LRXY4UWD4BGPQKIHSZ25NHPWK2

not attested not anchored not stored refs pending

On Bertelson-Gromov Dynamical Morse Entropy

Artur O. Lopes, Marcos Sebastiani

arxiv:1504.04705 v1 · 2015-04-18 · math.DS · cond-mat.stat-mech · math-ph · math.AT · 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{LRXY4UWD4BGPQKIHSZ25NHPWK2}

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	2026-05-18T02:18:25.060268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6f8e52c3e04cf829079675d69df656bd4c426bce276694970ae14042e3e8b1

Aliases

arxiv: 1504.04705 · arxiv_version: 1504.04705v1 · doi: 10.48550/arxiv.1504.04705 · pith_short_12: LRXY4UWD4BGP · pith_short_16: LRXY4UWD4BGPQKIH · pith_short_8: LRXY4UWD

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/LRXY4UWD4BGPQKIHSZ25NHPWK2 \
  | 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: 5c6f8e52c3e04cf829079675d69df656bd4c426bce276694970ae14042e3e8b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033416976385f0c60a9b9454aa6cc7e3e642266efe77a215fce947e56295712e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-18T10:24:56Z",
    "title_canon_sha256": "5087107b3d3467acd7e618fb64a3cdf86709dfa7ce5abd52414d6248e7bf1b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04705",
    "kind": "arxiv",
    "version": 1
  }
}