Pith Number

pith:WCRJLQLA

pith:2017:WCRJLQLA3NDEHXR7L2APM5I54B

not attested not anchored not stored refs pending

Flexibility of entropies for surfaces of negative curvature

Alena Erchenko, Anatole Katok

arxiv:1710.00079 v1 · 2017-09-29 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCRJLQLA3NDEHXR7L2APM5I54B}

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	2026-05-18T00:33:57.992904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a295c160db4643de3f5e80f6751de05e8b31109a150585a2d6709cb08edace

Aliases

arxiv: 1710.00079 · arxiv_version: 1710.00079v1 · doi: 10.48550/arxiv.1710.00079 · pith_short_12: WCRJLQLA3NDE · pith_short_16: WCRJLQLA3NDEHXR7 · pith_short_8: WCRJLQLA

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/WCRJLQLA3NDEHXR7L2APM5I54B \
  | 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: b0a295c160db4643de3f5e80f6751de05e8b31109a150585a2d6709cb08edace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbc147100e714aed589348efc6e4ae49b6d4ab62aa55fed1d46a617b1d8a9b9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-29T20:26:20Z",
    "title_canon_sha256": "64f71df24f0a6957407082bc84e3b8cbab8bdc78f6ef52bf1e7b88a8aacbbe83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00079",
    "kind": "arxiv",
    "version": 1
  }
}