Pith Number

pith:VAYRNJKY

pith:2011:VAYRNJKYIKCEEZVZSEW55FH3VD

not attested not anchored not stored refs pending

Formal Equivalence Between Normal Forms of Reversible and Hamiltonian Dynamical Systems

Ricardo Miranda Martins

arxiv:1103.0333 v1 · 2011-03-02 · 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{VAYRNJKYIKCEEZVZSEW55FH3VD}

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	2026-05-18T04:27:35.230691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83116a55842844266b9912dde94fba8c2c89a40e0b76abb4e88219466a112d3

Aliases

arxiv: 1103.0333 · arxiv_version: 1103.0333v1 · doi: 10.48550/arxiv.1103.0333 · pith_short_12: VAYRNJKYIKCE · pith_short_16: VAYRNJKYIKCEEZVZ · pith_short_8: VAYRNJKY

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/VAYRNJKYIKCEEZVZSEW55FH3VD \
  | 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: a83116a55842844266b9912dde94fba8c2c89a40e0b76abb4e88219466a112d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74c7a848421442b3016c2d1afe3ca32e2ec177bce141eae277cf3e15352277a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-02T01:40:31Z",
    "title_canon_sha256": "9b60b80c52a2cadcb0c9a3e16a8627b80635bb7d8f55b18ab41c06902371004f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0333",
    "kind": "arxiv",
    "version": 1
  }
}