Pith Number

pith:JY635JIQ

pith:2016:JY635JIQLZ57PTHP4CLBEIKTU3

not attested not anchored not stored refs pending

The Rearrangement Number

Andreas Blass, Joel David Hamkins, J\"org Brendle, Michael Hardy, Paul B. Larson, Will Brian

arxiv:1612.07830 v3 · 2016-12-22 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY635JIQLZ57PTHP4CLBEIKTU3}

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	2026-05-17T23:46:31.256229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e3dbea5105e7bf7ccefe096122153a6f991e4744223c27a5800cdbc6909e8d9

Aliases

arxiv: 1612.07830 · arxiv_version: 1612.07830v3 · doi: 10.48550/arxiv.1612.07830 · pith_short_12: JY635JIQLZ57 · pith_short_16: JY635JIQLZ57PTHP · pith_short_8: JY635JIQ

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/JY635JIQLZ57PTHP4CLBEIKTU3 \
  | 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: 4e3dbea5105e7bf7ccefe096122153a6f991e4744223c27a5800cdbc6909e8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db3a94b33c7e7988f1469f1f2820cf38fbd11c2909950589605b78ad016aa67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-22T22:22:49Z",
    "title_canon_sha256": "fb6589f37c3ca4048e17a37d39792ba7246ba428e5489710e83994cae8ef1b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07830",
    "kind": "arxiv",
    "version": 3
  }
}