Pith Number

pith:VPIOHM7D

pith:2017:VPIOHM7DKSZGLNWRX2ODDLICX6

not attested not anchored not stored refs pending

The critical greedy server on the integers is recurrent

Andrew R. Wade, James R. Cruise

arxiv:1712.03026 v1 · 2017-12-08 · 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{VPIOHM7DKSZGLNWRX2ODDLICX6}

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	2026-05-17T23:55:38.887089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd0e3b3e354b265b6d1be9c31ad02bfa89f32425f7a5341b41fdff83143dd62

Aliases

arxiv: 1712.03026 · arxiv_version: 1712.03026v1 · doi: 10.48550/arxiv.1712.03026 · pith_short_12: VPIOHM7DKSZG · pith_short_16: VPIOHM7DKSZGLNWR · pith_short_8: VPIOHM7D

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/VPIOHM7DKSZGLNWRX2ODDLICX6 \
  | 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: abd0e3b3e354b265b6d1be9c31ad02bfa89f32425f7a5341b41fdff83143dd62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f4012a6b31836c0bc2e270682fe7dda4163903ecbfdd693df7ac65d7d89050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-08T11:06:34Z",
    "title_canon_sha256": "51ca1ea9d6358f503930810f6c4bae3941330c0270a1a60e18404e9c5e078cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03026",
    "kind": "arxiv",
    "version": 1
  }
}