Pith Number

pith:2H22XGY2

pith:2016:2H22XGY2M5EQ5VJHBSZ4RY2EBJ

not attested not anchored not stored refs pending

Multiplicity free quasi-Hamiltonian manifolds

Friedrich Knop

arxiv:1612.03843 v2 · 2016-12-12 · math.SG · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2H22XGY2M5EQ5VJHBSZ4RY2EBJ}

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	2026-05-18T00:53:41.884651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f5ab9b1a67490ed5270cb3c8e3440a728fa424988eca15f6d60b8d74472317

Aliases

arxiv: 1612.03843 · arxiv_version: 1612.03843v2 · doi: 10.48550/arxiv.1612.03843 · pith_short_12: 2H22XGY2M5EQ · pith_short_16: 2H22XGY2M5EQ5VJH · pith_short_8: 2H22XGY2

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/2H22XGY2M5EQ5VJHBSZ4RY2EBJ \
  | 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: d1f5ab9b1a67490ed5270cb3c8e3440a728fa424988eca15f6d60b8d74472317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0abed63275df38742078396bd6ce4556652f2f6beb8fc9d40ad87a02e752bf96",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-12-12T18:41:34Z",
    "title_canon_sha256": "8005d72e188720e6f9601db732b08583cff1b23fff404396392ee06b7231d933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03843",
    "kind": "arxiv",
    "version": 2
  }
}