Pith Number

pith:U2XZPG5W

pith:2016:U2XZPG5WH2RKIM7QPWZIWIERXL

not attested not anchored not stored refs pending

Means refinements via convexity

Mohammad Sababheh

arxiv:1606.06845 v1 · 2016-06-22 · 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{U2XZPG5WH2RKIM7QPWZIWIERXL}

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	2026-05-18T01:12:01.004854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6af979bb63ea2a433f07db28b2091bad6154eb5249281711cd719441bee6f17

Aliases

arxiv: 1606.06845 · arxiv_version: 1606.06845v1 · doi: 10.48550/arxiv.1606.06845 · pith_short_12: U2XZPG5WH2RK · pith_short_16: U2XZPG5WH2RKIM7Q · pith_short_8: U2XZPG5W

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/U2XZPG5WH2RKIM7QPWZIWIERXL \
  | 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: a6af979bb63ea2a433f07db28b2091bad6154eb5249281711cd719441bee6f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed57a8b822a75b1aa9de37df9e8e43f7a6186c34db0f58c594fdb97fd03464d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-22T08:18:29Z",
    "title_canon_sha256": "7470daa8a30822bc4346ac24bef0f09f92b920722d49f4324168d2cae07a2392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06845",
    "kind": "arxiv",
    "version": 1
  }
}