Pith Number

pith:ZGRU7L4G

pith:2016:ZGRU7L4GOPZORNQBKHFIKHS72B

not attested not anchored not stored refs pending

Namba forcing, weak approximation, and guessing

John Krueger, Sean Cox

arxiv:1610.00319 v3 · 2016-10-02 · 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{ZGRU7L4GOPZORNQBKHFIKHS72B}

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	2026-05-17T23:53:12.991562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a34faf8673f2e8b60151ca851e5fd0492bb3e1cc85100d4b82521c343981e0

Aliases

arxiv: 1610.00319 · arxiv_version: 1610.00319v3 · doi: 10.48550/arxiv.1610.00319 · pith_short_12: ZGRU7L4GOPZO · pith_short_16: ZGRU7L4GOPZORNQB · pith_short_8: ZGRU7L4G

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/ZGRU7L4GOPZORNQBKHFIKHS72B \
  | 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: c9a34faf8673f2e8b60151ca851e5fd0492bb3e1cc85100d4b82521c343981e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462483f2bd680fe1d53860cc219afadfb4aaefb5562107068a6f20d7f01e997e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-02T17:29:52Z",
    "title_canon_sha256": "e31f03083df5cfc69d8c428c79d7c7c8dcfafd7cf5f42791abec48d1dadc571d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00319",
    "kind": "arxiv",
    "version": 3
  }
}