Pith Number

pith:2RELO6FR

pith:2011:2RELO6FRKDVCDJLO36EYDNE7PQ

not attested not anchored not stored refs pending

Hofer-Zehnder capacity and a Hamiltonian circle action with noncontractible orbits

Kei Irie

arxiv:1112.5247 v1 · 2011-12-22 · 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{2RELO6FRKDVCDJLO36EYDNE7PQ}

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	2026-05-18T04:05:47.989424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d448b778b150ea21a56edf8981b49f7c3e3da285573b6c1f6170e87ef4d419f4

Aliases

arxiv: 1112.5247 · arxiv_version: 1112.5247v1 · doi: 10.48550/arxiv.1112.5247 · pith_short_12: 2RELO6FRKDVC · pith_short_16: 2RELO6FRKDVCDJLO · pith_short_8: 2RELO6FR

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/2RELO6FRKDVCDJLO36EYDNE7PQ \
  | 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: d448b778b150ea21a56edf8981b49f7c3e3da285573b6c1f6170e87ef4d419f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f795e01fb5a0b22e68ddd4f364738d37aad69f2a41645b19396e2b14aed6956d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-12-22T08:11:57Z",
    "title_canon_sha256": "f2c3bd86eca1d7f2234abb49a75dc1a08a251efeb34d2cdfb9c613e7cbbd151d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5247",
    "kind": "arxiv",
    "version": 1
  }
}