Pith Number

pith:FB4QFACJ

pith:2014:FB4QFACJTQNLNHG4YFZTXZEN35

not attested not anchored not stored refs pending

On the density function on moduli spaces of toric 4-manifolds

Alessio Figalli, \'Alvaro Pelayo

arxiv:1408.1462 v3 · 2014-08-07 · math.SG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FB4QFACJTQNLNHG4YFZTXZEN35}

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	2026-05-18T02:27:05.329527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28790280499c1ab69cdcc1733be48ddf45a12ec4372d30ba64009594be9e094d

Aliases

arxiv: 1408.1462 · arxiv_version: 1408.1462v3 · doi: 10.48550/arxiv.1408.1462 · pith_short_12: FB4QFACJTQNL · pith_short_16: FB4QFACJTQNLNHG4 · pith_short_8: FB4QFACJ

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/FB4QFACJTQNLNHG4YFZTXZEN35 \
  | 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: 28790280499c1ab69cdcc1733be48ddf45a12ec4372d30ba64009594be9e094d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4435a44ee44af668c0c6f2c83f5ee17d2f8780a62318f29fe6e87b452fc1816c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-08-07T02:03:21Z",
    "title_canon_sha256": "c03475b81888af38f68b7ab34e08ccf8101dde64a2872d3f080055750e616923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1462",
    "kind": "arxiv",
    "version": 3
  }
}