Pith Number

pith:73PDQEFG

pith:2014:73PDQEFGTAQ6K3YBUFZ4UREE2C

not attested not anchored not stored refs pending

Unimodality of the Betti numbers for Hamiltonian circle actions with index-increasing moment maps

Yunhyung Cho

arxiv:1404.6072 v2 · 2014-04-24 · 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{73PDQEFGTAQ6K3YBUFZ4UREE2C}

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	2026-05-18T02:25:19.893189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fede3810a69821e56f01a173ca4484d0be358c0096cadb6f620a0c1a53e7e438

Aliases

arxiv: 1404.6072 · arxiv_version: 1404.6072v2 · doi: 10.48550/arxiv.1404.6072 · pith_short_12: 73PDQEFGTAQ6 · pith_short_16: 73PDQEFGTAQ6K3YB · pith_short_8: 73PDQEFG

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/73PDQEFGTAQ6K3YBUFZ4UREE2C \
  | 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: fede3810a69821e56f01a173ca4484d0be358c0096cadb6f620a0c1a53e7e438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68ec10e0888ac4e0d03887b67b7f59c515d778354df5ad26dcd96f220cbdcb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-04-24T10:12:14Z",
    "title_canon_sha256": "a8e6acd81f06b652917916f0ef01d7b79a0e425fdecae6c311d847ed5d1b5b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6072",
    "kind": "arxiv",
    "version": 2
  }
}