Pith Number

pith:CMLSRHWQ

pith:2025:CMLSRHWQAUV52ZVFUPER6IAMCA

not attested not anchored not stored refs pending

The volume function is upper semicontinuous on families of divisors

Junpeng Jiao

arxiv:2504.16676 v2 · 2025-04-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMLSRHWQAUV52ZVFUPER6IAMCA}

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.

Cited by

1 paper in Pith

On volumes and the generic invariance of Fano type varieties

Receipt and verification

First computed	2026-07-05T11:49:53.745859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1317289ed0052bdd66a5a3c91f200c10068679263177312ce6d8de489b0ea89a

Aliases

arxiv: 2504.16676 · arxiv_version: 2504.16676v2 · doi: 10.48550/arxiv.2504.16676 · pith_short_12: CMLSRHWQAUV5 · pith_short_16: CMLSRHWQAUV52ZVF · pith_short_8: CMLSRHWQ

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/CMLSRHWQAUV52ZVFUPER6IAMCA \
  | 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: 1317289ed0052bdd66a5a3c91f200c10068679263177312ce6d8de489b0ea89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73df6828f76deb0a426a64d5aa63b634f4ddbdf3dd2dc5f13a5f5e4eb393c3dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-23T12:46:23Z",
    "title_canon_sha256": "3ef5770107d05f0d33dcb26cf89f7a484e8d4fa63e95a86e5f368eb9a1a1d703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16676",
    "kind": "arxiv",
    "version": 2
  }
}