Pith Number

pith:AS2KD4LX

pith:2025:AS2KD4LXOAWMNNLQN4TZB2HFPG

not attested not anchored not stored refs pending

Local rigidity for symplectic billiards

Daniel Tsodikovich

arxiv:2501.08849 v2 · 2025-01-15 · 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{AS2KD4LXOAWMNNLQN4TZB2HFPG}

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	2026-07-05T12:01:20.467897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b4a1f177702cc6b5706f2790e8e579af282966ad8419bb4a35c4a2fe5ac601

Aliases

arxiv: 2501.08849 · arxiv_version: 2501.08849v2 · doi: 10.48550/arxiv.2501.08849 · pith_short_12: AS2KD4LXOAWM · pith_short_16: AS2KD4LXOAWMNNLQ · pith_short_8: AS2KD4LX

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/AS2KD4LXOAWMNNLQN4TZB2HFPG \
  | 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: 04b4a1f177702cc6b5706f2790e8e579af282966ad8419bb4a35c4a2fe5ac601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967af68cd871d7367f6f27cde87ac3505990d52332f9934f2470fc1b1c997c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-15T15:00:12Z",
    "title_canon_sha256": "930ce64ab6868cadd45ba3af324939e2ffc8b413138adc89951d5ea69b04d1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08849",
    "kind": "arxiv",
    "version": 2
  }
}