Pith Number

pith:CUUMQNEE

pith:2016:CUUMQNEETYIC7TH5SSJX2YPH6L

not attested not anchored not stored refs pending

Monotonicity Preserving Transformations of MOT and SEP

Florian Stebegg, Martin Huesmann

arxiv:1609.04084 v2 · 2016-09-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUUMQNEETYIC7TH5SSJX2YPH6L}

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	2026-05-18T00:39:28.996179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1528c834849e102fccfd94937d61e7f2fcfc81afc12ea82d4375e941ece38f08

Aliases

arxiv: 1609.04084 · arxiv_version: 1609.04084v2 · doi: 10.48550/arxiv.1609.04084 · pith_short_12: CUUMQNEETYIC · pith_short_16: CUUMQNEETYIC7TH5 · pith_short_8: CUUMQNEE

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/CUUMQNEETYIC7TH5SSJX2YPH6L \
  | 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: 1528c834849e102fccfd94937d61e7f2fcfc81afc12ea82d4375e941ece38f08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff4ed220beb5d4501642c55b5be8db8c496e7c5e0ffd5dd0a184c87bdcd6d0ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-14T00:54:33Z",
    "title_canon_sha256": "47c5ef737aad2cc64b597adea118da1c6ddeb6cd109fcefcc8daa0de583d0d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04084",
    "kind": "arxiv",
    "version": 2
  }
}