Pith Number

pith:UFTHZOXG

pith:2017:UFTHZOXGVGT2MICRYX7YIWSYPN

not attested not anchored not stored refs pending

Associative idempotent nondecreasing functions are reducible

G\'abor Somlai, Gergely Kiss

arxiv:1707.04341 v3 · 2017-07-13 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFTHZOXGVGT2MICRYX7YIWSYPN}

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	2026-05-18T00:06:41.688572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1667cbae6a9a7a62051c5ff845a587b5c0cd00ad5afd40844a2dcf2d23fb7d7

Aliases

arxiv: 1707.04341 · arxiv_version: 1707.04341v3 · doi: 10.48550/arxiv.1707.04341 · pith_short_12: UFTHZOXGVGT2 · pith_short_16: UFTHZOXGVGT2MICR · pith_short_8: UFTHZOXG

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/UFTHZOXGVGT2MICRYX7YIWSYPN \
  | 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: a1667cbae6a9a7a62051c5ff845a587b5c0cd00ad5afd40844a2dcf2d23fb7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e27105719c3d4f275d661eebd133e0d22c6864bf73adb53d4b0aba12bd957eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-13T22:12:36Z",
    "title_canon_sha256": "f1217354541e20dc5735a29c178341c8ae83061562a35cda1de504425b01f3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04341",
    "kind": "arxiv",
    "version": 3
  }
}