Pith Number

pith:HPD7NNVT

pith:2014:HPD7NNVTSK6LRBKNALGYWCPG6H

not attested not anchored not stored refs pending

Equivalence of optimal $L^1$-inequalities on Riemannian Manifolds

Jurandir Ceccon, Leandro Cioletti

arxiv:1404.3234 v2 · 2014-04-11 · 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{HPD7NNVTSK6LRBKNALGYWCPG6H}

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	2026-05-18T02:41:41.604063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc7f6b6b392bcb8854d02cd8b09e6f1e4c1a56db83dc26d2db5f0c693a0237a

Aliases

arxiv: 1404.3234 · arxiv_version: 1404.3234v2 · doi: 10.48550/arxiv.1404.3234 · pith_short_12: HPD7NNVTSK6L · pith_short_16: HPD7NNVTSK6LRBKN · pith_short_8: HPD7NNVT

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/HPD7NNVTSK6LRBKNALGYWCPG6H \
  | 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: 3bc7f6b6b392bcb8854d02cd8b09e6f1e4c1a56db83dc26d2db5f0c693a0237a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3042825b5d210815ada54e72fb1a9e5d9af788a8b055dfe8f54d91cdb9092a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-11T21:57:23Z",
    "title_canon_sha256": "0683d504b1d36e564d91388d2e0559a980af6b919d9aaaf4d77dd0788e1936fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3234",
    "kind": "arxiv",
    "version": 2
  }
}