Pith Number

pith:HLK7GLTX

pith:2014:HLK7GLTXZT7LTBVEC3LFOEMLEG

not attested not anchored not stored refs pending

Entropy of foliations with leafwise Finsler structure

Ilona Michalik, Szymon M. Walczak

arxiv:1410.0829 v2 · 2014-10-03 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLK7GLTXZT7LTBVEC3LFOEMLEG}

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	2026-05-18T02:28:22.688265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad5f32e77ccfeb986a416d657118b21ad6b64574ff18b49d59d8aac637e1f0e

Aliases

arxiv: 1410.0829 · arxiv_version: 1410.0829v2 · doi: 10.48550/arxiv.1410.0829 · pith_short_12: HLK7GLTXZT7L · pith_short_16: HLK7GLTXZT7LTBVE · pith_short_8: HLK7GLTX

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/HLK7GLTXZT7LTBVEC3LFOEMLEG \
  | 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: 3ad5f32e77ccfeb986a416d657118b21ad6b64574ff18b49d59d8aac637e1f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5365403c785c6180537da70458d230877ae54ebaab6ac802d7c6d91cc3d87894",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-03T12:10:04Z",
    "title_canon_sha256": "dc73fcb04c95a8ff5186571abf10664d97af75d4403370eb5a9c73881d293775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0829",
    "kind": "arxiv",
    "version": 2
  }
}