Pith Number

pith:TPGH32M5

pith:2024:TPGH32M55XR7EOZ5GNDKAQBJHM

not attested not anchored not stored refs pending

Sharp Poincare-Wirtinger inequalities on complete graphs

Cristian Gonz\'alez-Riquelme, Jos\'e Madrid

arxiv:2411.12079 v1 · 2024-11-18 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPGH32M55XR7EOZ5GNDKAQBJHM}

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	2026-07-05T09:37:15.814254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcc7de99dede3f23b3d3346a040293b27e743c8e881a7c4a97738c76c38783e

Aliases

arxiv: 2411.12079 · arxiv_version: 2411.12079v1 · doi: 10.48550/arxiv.2411.12079 · pith_short_12: TPGH32M55XR7 · pith_short_16: TPGH32M55XR7EOZ5 · pith_short_8: TPGH32M5

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/TPGH32M55XR7EOZ5GNDKAQBJHM \
  | 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: 9bcc7de99dede3f23b3d3346a040293b27e743c8e881a7c4a97738c76c38783e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10501262ebfc5a06533c6b5b85f5c3d873e4600d90e00e6a90eadb9839d89c3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-11-18T21:44:33Z",
    "title_canon_sha256": "173d549d0c2c9816d9e4b476ca544051183aca8dd28689425d71651bd26afce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12079",
    "kind": "arxiv",
    "version": 1
  }
}