Pith Number

pith:BFK7GCWI

pith:2011:BFK7GCWIDBUY5QURTJAWSS7OUW

not attested not anchored not stored refs pending

Log-concavity of complexity one Hamiltonian torus actions

Min Kyu Kim, Yunhyung Cho

arxiv:1109.3115 v1 · 2011-09-14 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFK7GCWIDBUY5QURTJAWSS7OUW}

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	2026-05-18T01:23:31.779459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0955f30ac818698ec2919a41694beea5b7a8d78ae825a79cdb5bfb9e23808cf1

Aliases

arxiv: 1109.3115 · arxiv_version: 1109.3115v1 · doi: 10.48550/arxiv.1109.3115 · pith_short_12: BFK7GCWIDBUY · pith_short_16: BFK7GCWIDBUY5QUR · pith_short_8: BFK7GCWI

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/BFK7GCWIDBUY5QURTJAWSS7OUW \
  | 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: 0955f30ac818698ec2919a41694beea5b7a8d78ae825a79cdb5bfb9e23808cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a986f28e483308b8b8515b41863f89c6eb001d5b1b49bc9d7ab1c1b5cd597bb7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-14T15:48:53Z",
    "title_canon_sha256": "f1055743f83c8cf9422719df102799eef6d509ddef66c5fbb4d3c7761988292b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3115",
    "kind": "arxiv",
    "version": 1
  }
}