Pith Number

pith:UICO3C4R

pith:2015:UICO3C4RPASC5VI655WO4QJFDV

not attested not anchored not stored refs pending

Uniform hyperbolicity revisited: Index of periodic points and equidimensional cycles

Jorge Rocha, Mario Bessa, Paulo Varandas

arxiv:1506.04677 v2 · 2015-06-15 · 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{UICO3C4RPASC5VI655WO4QJFDV}

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	2026-05-18T01:21:23.034058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a204ed8b9178242ed51eef6cee41251d516e4ba3fd1dc82277485f762ac20527

Aliases

arxiv: 1506.04677 · arxiv_version: 1506.04677v2 · doi: 10.48550/arxiv.1506.04677 · pith_short_12: UICO3C4RPASC · pith_short_16: UICO3C4RPASC5VI6 · pith_short_8: UICO3C4R

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/UICO3C4RPASC5VI655WO4QJFDV \
  | 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: a204ed8b9178242ed51eef6cee41251d516e4ba3fd1dc82277485f762ac20527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d8fb4492f207461a3cc29445ece74af3e86859de584d2ac7823d60590bab889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-15T17:25:08Z",
    "title_canon_sha256": "20cd5a77e08074905531d0dee4f3d6aa13f11502c6b1a3be5a03396025ea5be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04677",
    "kind": "arxiv",
    "version": 2
  }
}