Pith Number

pith:BSECBR3N

pith:2011:BSECBR3NPCRPLS3KNBN36P2ZV7

not attested not anchored not stored refs pending

The log-concavity conjecture on semifree symplectic S^1-manifolds with isolated fixed points

Yunhyung Cho

arxiv:1103.2998 v2 · 2011-03-15 · 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{BSECBR3NPCRPLS3KNBN36P2ZV7}

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	2026-05-18T01:23:31.786589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c8820c76d78a2f5cb6a685bbf3f59afea602534e0848aa6ec7e72f434010854

Aliases

arxiv: 1103.2998 · arxiv_version: 1103.2998v2 · doi: 10.48550/arxiv.1103.2998 · pith_short_12: BSECBR3NPCRP · pith_short_16: BSECBR3NPCRPLS3K · pith_short_8: BSECBR3N

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/BSECBR3NPCRPLS3KNBN36P2ZV7 \
  | 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: 0c8820c76d78a2f5cb6a685bbf3f59afea602534e0848aa6ec7e72f434010854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df441265e5513e742ac5e647080d1e94c01cec70a3ac67801a1bae004474c5f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-03-15T19:17:10Z",
    "title_canon_sha256": "6391564c1d2b70bc8a1ebbdd3866a3d1ea29274eda0e2f1af2230ecadcf5a2da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2998",
    "kind": "arxiv",
    "version": 2
  }
}