Pith Number

pith:VMLCO65K

pith:2016:VMLCO65KLUD6LUQI6SWICHM66M

not attested not anchored not stored refs pending

The number of Hamiltonian fixed points on symplectically aspherical manifolds

Georgios Dimitroglou Rizell, Roman Golovko

arxiv:1609.04776 v2 · 2016-09-15 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMLCO65KLUD6LUQI6SWICHM66M}

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	2026-05-18T00:53:17.246873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab16277baa5d07e5d208f4ac811d9ef32099fef870c6022ba59acae2ee08fbf0

Aliases

arxiv: 1609.04776 · arxiv_version: 1609.04776v2 · doi: 10.48550/arxiv.1609.04776 · pith_short_12: VMLCO65KLUD6 · pith_short_16: VMLCO65KLUD6LUQI · pith_short_8: VMLCO65K

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/VMLCO65KLUD6LUQI6SWICHM66M \
  | 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: ab16277baa5d07e5d208f4ac811d9ef32099fef870c6022ba59acae2ee08fbf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fa020e06a59bbe22321c48edf913777773151e2c47f626944af899d4d4d46c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-09-15T18:45:30Z",
    "title_canon_sha256": "0d0b3e9e45e4d49f63557fe87f7d71d5e4925e1e16313124c074d42b9dda1fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04776",
    "kind": "arxiv",
    "version": 2
  }
}