Pith Number

pith:U6RNJ7UM

pith:2010:U6RNJ7UM6PYBDAQW676BTCXZ6I

not attested not anchored not stored refs pending

Simple examples of distinct Liouville-type symplectic structures

Paul Seidel

arxiv:1011.1415 v2 · 2010-11-05 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6RNJ7UM6PYBDAQW676BTCXZ6I}

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	2026-05-18T04:33:28.807785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a2d4fe8cf3f0118216f7fc198af9f20e4129c88d5f175981eaeb36dc57242a

Aliases

arxiv: 1011.1415 · arxiv_version: 1011.1415v2 · doi: 10.48550/arxiv.1011.1415 · pith_short_12: U6RNJ7UM6PYB · pith_short_16: U6RNJ7UM6PYBDAQW · pith_short_8: U6RNJ7UM

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/U6RNJ7UM6PYBDAQW676BTCXZ6I \
  | 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: a7a2d4fe8cf3f0118216f7fc198af9f20e4129c88d5f175981eaeb36dc57242a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29831a294f6c55040413d91c6fd6e5cc5411f9037cae407339bb7f697654fbfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-11-05T14:55:45Z",
    "title_canon_sha256": "4673acbdc9f104a7ef953d7cf52379c86a2d2aa8dbf809c7272de82bbc22b144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1415",
    "kind": "arxiv",
    "version": 2
  }
}