Pith Number

pith:NPL7RGAB

pith:2003:NPL7RGABAXSU7YBLB2KZVSTQYJ

not attested not anchored not stored refs pending

When Shape Matters: Deformations of Tiling Spaces

Alex Clark, Lorenzo Sadun

arxiv:math/0306214 v2 · 2003-06-13 · math.DS · math-ph · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPL7RGABAXSU7YBLB2KZVSTQYJ}

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	2026-05-18T00:11:07.479901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd7f8980105e54fe02b0e959aca70c24353aaffc856fec764c05739ed4ed2ba

Aliases

arxiv: math/0306214 · arxiv_version: math/0306214v2 · doi: 10.48550/arxiv.math/0306214 · pith_short_12: NPL7RGABAXSU · pith_short_16: NPL7RGABAXSU7YBL · pith_short_8: NPL7RGAB

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/NPL7RGABAXSU7YBLB2KZVSTQYJ \
  | 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: 6bd7f8980105e54fe02b0e959aca70c24353aaffc856fec764c05739ed4ed2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f3e2248d3b9e71ab5f686ee8a3cbddcb425033a8e2ced1d9168c6d984bfc73",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2003-06-13T18:58:03Z",
    "title_canon_sha256": "12c65a734eaa4357278da2592080d8dec286c08c91cb96d9bdffbe1161456bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306214",
    "kind": "arxiv",
    "version": 2
  }
}