Pith Number

pith:L5BHYZCT

pith:2006:L5BHYZCT3LTPYUFK26M5LMO2V5

not attested not anchored not stored refs pending

Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": Proof of C$^{0}$ and C$^{r}$ - closeness Theorems

A. Rapoport, D. Turaev, V. Rom-Kedar

arxiv:nlin/0612016 v1 · 2006-12-06 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5BHYZCT3LTPYUFK26M5LMO2V5}

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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	2026-05-18T04:09:56.661788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f427c6453dae6fc50aad799d5b1daaf580c88ffbaf5a98b8cbeb4ca2cb206e8

Aliases

arxiv: nlin/0612016 · arxiv_version: nlin/0612016v1 · doi: 10.48550/arxiv.nlin/0612016 · pith_short_12: L5BHYZCT3LTP · pith_short_16: L5BHYZCT3LTPYUFK · pith_short_8: L5BHYZCT

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/L5BHYZCT3LTPYUFK26M5LMO2V5 \
  | 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: 5f427c6453dae6fc50aad799d5b1daaf580c88ffbaf5a98b8cbeb4ca2cb206e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6af54173a806d983b129818d78e762df7e8cb0af9be8d87a84380af90cd59a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2006-12-06T13:03:40Z",
    "title_canon_sha256": "595f3df85175ba30bcba56c3ff0317c16878bedba6cdc34ff9ede6017a50b59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0612016",
    "kind": "arxiv",
    "version": 1
  }
}