Pith Number

pith:5QAQQC32

pith:2016:5QAQQC32S5OTMZMICDHSHCGHES

not attested not anchored not stored refs pending

Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard

Fabian Ziltener, Yael Karshon

arxiv:1607.03627 v1 · 2016-07-13 · 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{5QAQQC32S5OTMZMICDHSHCGHES}

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	2026-05-18T01:11:07.513561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec01080b7a975d36658810cf2388c7249e1abcb140d59990c3e56c449fce47af

Aliases

arxiv: 1607.03627 · arxiv_version: 1607.03627v1 · doi: 10.48550/arxiv.1607.03627 · pith_short_12: 5QAQQC32S5OT · pith_short_16: 5QAQQC32S5OTMZMI · pith_short_8: 5QAQQC32

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/5QAQQC32S5OTMZMICDHSHCGHES \
  | 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: ec01080b7a975d36658810cf2388c7249e1abcb140d59990c3e56c449fce47af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162c2ceab3c0fffe110ce876c3572042e96d80dde7f254f723dece3e0d086854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-07-13T08:03:46Z",
    "title_canon_sha256": "c05cd2fbab3adbac6f616c2bb42cca3f964d1542dc878a561085eee5fce0ce11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03627",
    "kind": "arxiv",
    "version": 1
  }
}