Pith Number

pith:2LIAHPNH

pith:2016:2LIAHPNH45ULNR6HPPFDYO75UZ

not attested not anchored not stored refs pending

Hamiltonian and symplectic symmetries: an introduction

\'Alvaro Pelayo

arxiv:1610.09718 v1 · 2016-10-30 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LIAHPNH45ULNR6HPPFDYO75UZ}

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	2026-05-18T01:00:51.224474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d003bda7e768b6c7c77bca3c3bfda66f221e9ec992916e3dff70401e51bd41

Aliases

arxiv: 1610.09718 · arxiv_version: 1610.09718v1 · doi: 10.48550/arxiv.1610.09718 · pith_short_12: 2LIAHPNH45UL · pith_short_16: 2LIAHPNH45ULNR6H · pith_short_8: 2LIAHPNH

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/2LIAHPNH45ULNR6HPPFDYO75UZ \
  | 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: d2d003bda7e768b6c7c77bca3c3bfda66f221e9ec992916e3dff70401e51bd41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9adfc8942ae95846920ac9454834d4c4721e9fceee56083218b122ffeedd443",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-10-30T22:16:09Z",
    "title_canon_sha256": "e4b301d9c9135081601103ed803e81499843b66116286ea933153749f8c1a16e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09718",
    "kind": "arxiv",
    "version": 1
  }
}