Pith Number

pith:75FITWWU

pith:2013:75FITWWUTG3BPSR2JJ6KYU6JGX

not attested not anchored not stored refs pending

More Jordan type inequalities

D. Aharonov, U. Elias

arxiv:1309.5521 v1 · 2013-09-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75FITWWUTG3BPSR2JJ6KYU6JGX}

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	2026-05-18T03:12:36.063436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4a89dad499b617ca3a4a7cac53c935ca9750d42a9fff775726e54e3e97b77d

Aliases

arxiv: 1309.5521 · arxiv_version: 1309.5521v1 · doi: 10.48550/arxiv.1309.5521 · pith_short_12: 75FITWWUTG3B · pith_short_16: 75FITWWUTG3BPSR2 · pith_short_8: 75FITWWU

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/75FITWWUTG3BPSR2JJ6KYU6JGX \
  | 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: ff4a89dad499b617ca3a4a7cac53c935ca9750d42a9fff775726e54e3e97b77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa49f25927e33ff22d716ee034841aa430773af19d7612175a5101a50e2b6b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-21T19:30:51Z",
    "title_canon_sha256": "477e2106ac4532e307b96945ffb93c2aca390ac2c722f79e8a619057055d2d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5521",
    "kind": "arxiv",
    "version": 1
  }
}