Pith Number

pith:D4PZS6KN

pith:2015:D4PZS6KNGHQWNFDZVEUKPHPYVM

not attested not anchored not stored refs pending

Tiling deformations, cohomology, and orbit equivalence of tiling spaces

Antoine Julien, Lorenzo Sadun

arxiv:1506.02694 v3 · 2015-06-08 · 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{D4PZS6KNGHQWNFDZVEUKPHPYVM}

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.

Cited by

1 paper in Pith

Exact renormalisation for patch frequencies in inflation systems

Receipt and verification

First computed	2026-05-18T00:11:24.107585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1f99794d31e1669479a928a79df8ab0fb83b2edc68ff619a7fc7b5983cb82a

Aliases

arxiv: 1506.02694 · arxiv_version: 1506.02694v3 · doi: 10.48550/arxiv.1506.02694 · pith_short_12: D4PZS6KNGHQW · pith_short_16: D4PZS6KNGHQWNFDZ · pith_short_8: D4PZS6KN

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/D4PZS6KNGHQWNFDZVEUKPHPYVM \
  | 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: 1f1f99794d31e1669479a928a79df8ab0fb83b2edc68ff619a7fc7b5983cb82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c97c0424b1a0f3aa22221a62dfd03168b604e44e963d6aa44d7b2adbb76dde1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-08T20:47:19Z",
    "title_canon_sha256": "6ff131ff7ab96c7b750f43ab967c85db672606ef2f001817c75011f31ef67fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02694",
    "kind": "arxiv",
    "version": 3
  }
}