Pith Number

pith:JAY6AD6H

pith:2017:JAY6AD6H6CGR4O3DTPVEQTEJZT

not attested not anchored not stored refs pending

An upper bound on the size of avoidance couplings

Erik Bates, Lisa Sauermann

arxiv:1712.00210 v4 · 2017-12-01 · 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{JAY6AD6H6CGR4O3DTPVEQTEJZT}

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	2026-05-17T23:42:30.992124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4831e00fc7f08d1e3b639bea484c89ccfba9df13808a437675c79874bbdf0cd4

Aliases

arxiv: 1712.00210 · arxiv_version: 1712.00210v4 · doi: 10.48550/arxiv.1712.00210 · pith_short_12: JAY6AD6H6CGR · pith_short_16: JAY6AD6H6CGR4O3D · pith_short_8: JAY6AD6H

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/JAY6AD6H6CGR4O3DTPVEQTEJZT \
  | 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: 4831e00fc7f08d1e3b639bea484c89ccfba9df13808a437675c79874bbdf0cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e8ce98ae3d49ce70c16fdea617ecf2b85645d35907e45fd7c4c2b3599a0c11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-01T06:59:11Z",
    "title_canon_sha256": "ced1af40d6bbd5a5f8b0196e932435c55eced9392de177877a568de875b8d1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00210",
    "kind": "arxiv",
    "version": 4
  }
}