Pith Number

pith:NTL5U5US

pith:2010:NTL5U5USBXDI5F4GJRT4ZW57K7

not attested not anchored not stored refs pending

Ammann Tilings in Symplectic Geometry

Elisa Prato, Fiammetta Battaglia

arxiv:1004.2471 v4 · 2010-04-14 · 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{NTL5U5USBXDI5F4GJRT4ZW57K7}

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	2026-05-18T03:31:45.325739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd7da76920dc68e97864c67ccdbbf57dd2e1693f9c8e97f39a18018b060f0f9

Aliases

arxiv: 1004.2471 · arxiv_version: 1004.2471v4 · doi: 10.48550/arxiv.1004.2471 · pith_short_12: NTL5U5USBXDI · pith_short_16: NTL5U5USBXDI5F4G · pith_short_8: NTL5U5US

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/NTL5U5USBXDI5F4GJRT4ZW57K7 \
  | 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: 6cd7da76920dc68e97864c67ccdbbf57dd2e1693f9c8e97f39a18018b060f0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0242553ce0c39ccdc6119b16cbd7da840e54751a2e9904160062010b683f7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-04-14T18:52:37Z",
    "title_canon_sha256": "003bd02b469eed56c1bb47645872165d921dae95cb26dc040bdd50a73189b4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2471",
    "kind": "arxiv",
    "version": 4
  }
}