Pith Number

pith:U75KVLAZ

pith:2025:U75KVLAZUSRD6ZCZDNOBLPFAII

not attested not anchored not stored refs pending

Li-Yau inequality and related properties on metric star graphs

Fabio Camilli

arxiv:2501.12685 v1 · 2025-01-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U75KVLAZUSRD6ZCZDNOBLPFAII}

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	2026-07-05T10:03:57.157167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7faaaac19a4a23f64591b5c15bca042296676d0a3de62eb7c59f8eb375eb499

Aliases

arxiv: 2501.12685 · arxiv_version: 2501.12685v1 · doi: 10.48550/arxiv.2501.12685 · pith_short_12: U75KVLAZUSRD · pith_short_16: U75KVLAZUSRD6ZCZ · pith_short_8: U75KVLAZ

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/U75KVLAZUSRD6ZCZDNOBLPFAII \
  | 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: a7faaaac19a4a23f64591b5c15bca042296676d0a3de62eb7c59f8eb375eb499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a03db93c33cf02550d6a379468dcf3f9ab96d8d379c39a85f395617702c4fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-22T07:34:24Z",
    "title_canon_sha256": "43b005c3d7ef5eed40568148c8ec59be258c619de80f851c7568a40fc39cef69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12685",
    "kind": "arxiv",
    "version": 1
  }
}