Pith Number

pith:3NZV3CDO

pith:2014:3NZV3CDOGXE425UWJFLDBEO6H5

not attested not anchored not stored refs pending

Hyperbolic Sets and Entropy at the Homological Level

Mario Rold\'an

arxiv:1407.5101 v1 · 2014-07-18 · 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{3NZV3CDOGXE425UWJFLDBEO6H5}

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	2026-05-18T02:47:14.953917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db735d886e35c9cd769649563091de3f5ba9a4a4d9267822e0a1fee01a0ba6e4

Aliases

arxiv: 1407.5101 · arxiv_version: 1407.5101v1 · doi: 10.48550/arxiv.1407.5101 · pith_short_12: 3NZV3CDOGXE4 · pith_short_16: 3NZV3CDOGXE425UW · pith_short_8: 3NZV3CDO

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/3NZV3CDOGXE425UWJFLDBEO6H5 \
  | 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: db735d886e35c9cd769649563091de3f5ba9a4a4d9267822e0a1fee01a0ba6e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4582ffa1c9632f35ef135c151d0a12c62bacd41343a4c0f50272739152ab33f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-18T20:07:15Z",
    "title_canon_sha256": "e895eae01f8cdc98ef0cd7d837f28cf4011f21a8f6744e42d85c4866f333abb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5101",
    "kind": "arxiv",
    "version": 1
  }
}