Pith Number

pith:UMNL74SM

pith:2014:UMNL74SMA7Y66FF2JI5DZ6U567

not attested not anchored not stored refs pending

Weakly monotone averaging functions

Gleb Beliakov, Tim Wilkin

arxiv:1408.0328 v1 · 2014-08-02 · cs.AI · 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{UMNL74SMA7Y66FF2JI5DZ6U567}

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	2026-05-18T02:45:57.349133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31abff24c07f1ef14ba4a3a3cfa9df7efda098446cf94eeeb036dcd83810f49

Aliases

arxiv: 1408.0328 · arxiv_version: 1408.0328v1 · doi: 10.48550/arxiv.1408.0328 · pith_short_12: UMNL74SMA7Y6 · pith_short_16: UMNL74SMA7Y66FF2 · pith_short_8: UMNL74SM

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/UMNL74SMA7Y66FF2JI5DZ6U567 \
  | 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: a31abff24c07f1ef14ba4a3a3cfa9df7efda098446cf94eeeb036dcd83810f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188bc96ed6eedec56449202e89b21cf35a6d1af541bdb03c88377825ed4ab5d9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2014-08-02T03:03:33Z",
    "title_canon_sha256": "3d189bd0a7ee492e69997fef775b6d0ad6e075017164c7ac7dd795ef32120606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0328",
    "kind": "arxiv",
    "version": 1
  }
}