Pith Number

pith:NXR3UIMZ

pith:2007:NXR3UIMZJNOSDHDORE3WHSLONO

not attested not anchored not stored refs pending

The Symplectic Penrose Kite

Elisa Prato, Fiammetta Battaglia

arxiv:0712.1978 v3 · 2007-12-12 · math.SG · math-ph · math.GT · 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{NXR3UIMZJNOSDHDORE3WHSLONO}

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	2026-05-18T04:40:34.232496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6de3ba21994b5d219c6e893763c96e6b88b99580efe0701814126eab5ad08b5c

Aliases

arxiv: 0712.1978 · arxiv_version: 0712.1978v3 · doi: 10.48550/arxiv.0712.1978 · pith_short_12: NXR3UIMZJNOS · pith_short_16: NXR3UIMZJNOSDHDO · pith_short_8: NXR3UIMZ

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/NXR3UIMZJNOSDHDORE3WHSLONO \
  | 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: 6de3ba21994b5d219c6e893763c96e6b88b99580efe0701814126eab5ad08b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13e4a751bec7b3cf354c453d85877a9e1ef651455d3cc901c49f96f9bab2df3c",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-12-12T16:57:04Z",
    "title_canon_sha256": "b04af6589dfcc11f78ef6b25e767c5394ea1e85ef404c9fd150c28b17e0b487c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1978",
    "kind": "arxiv",
    "version": 3
  }
}