Pith Number

pith:F3DP7HB3

pith:2015:F3DP7HB3ZTZUUE52I4YG3OF5LZ

not attested not anchored not stored refs pending

Free Functional Inequalities on the Circle

Ionel Popescu

arxiv:1511.05274 v3 · 2015-11-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3DP7HB3ZTZUUE52I4YG3OF5LZ}

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	2026-05-18T00:32:21.590533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec6ff9c3bccf34a13ba47306db8bd5e79b6a34a62e8157cbe36ac51c30f2bb7

Aliases

arxiv: 1511.05274 · arxiv_version: 1511.05274v3 · doi: 10.48550/arxiv.1511.05274 · pith_short_12: F3DP7HB3ZTZU · pith_short_16: F3DP7HB3ZTZUUE52 · pith_short_8: F3DP7HB3

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/F3DP7HB3ZTZUUE52I4YG3OF5LZ \
  | 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: 2ec6ff9c3bccf34a13ba47306db8bd5e79b6a34a62e8157cbe36ac51c30f2bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe2798230dd2f99ee91112c258e3e02b977bbb36a56847a5c10198514f8d4d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-17T05:28:23Z",
    "title_canon_sha256": "20b2538ed56ed9d69e7697dd7bac0c238b36451570b25b3b590a7c970a42be67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05274",
    "kind": "arxiv",
    "version": 3
  }
}