Pith Number

pith:WAZTRT7A

pith:2011:WAZTRT7AQ53DFIUGCGNRCYXWXH

not attested not anchored not stored refs pending

Inequalities and higher order convexity

Zarathustra Brady

arxiv:1108.5249 v1 · 2011-08-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAZTRT7AQ53DFIUGCGNRCYXWXH}

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	2026-05-18T04:14:38.676339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03338cfe0877632a286119b1162f6b9c7afb414565621496a816212cee5b0e3

Aliases

arxiv: 1108.5249 · arxiv_version: 1108.5249v1 · doi: 10.48550/arxiv.1108.5249 · pith_short_12: WAZTRT7AQ53D · pith_short_16: WAZTRT7AQ53DFIUG · pith_short_8: WAZTRT7A

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/WAZTRT7AQ53DFIUGCGNRCYXWXH \
  | 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: b03338cfe0877632a286119b1162f6b9c7afb414565621496a816212cee5b0e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19c3a1e12b548667d11f009cb06bf0d1ed671fc92dfcd5409c5b0420285a1d20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-26T07:02:52Z",
    "title_canon_sha256": "b817bea9ca91fb052ab3a434b8e8b66d148ae8a3bddde895b937b58c885bdff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5249",
    "kind": "arxiv",
    "version": 1
  }
}