Pith Number

pith:543Y5LRU

pith:2013:543Y5LRUAFFPVG67V6PH2Z5L54

not attested not anchored not stored refs pending

The weak choice principle WISC may fail in the category of sets

David Michael Roberts

arxiv:1311.3074 v4 · 2013-11-13 · math.CT · 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{543Y5LRUAFFPVG67V6PH2Z5L54}

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	2026-05-18T01:34:45.757945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef378eae34014afa9bdfaf9e7d67abef11a12bf2e036c7aa06c557103e6b1e57

Aliases

arxiv: 1311.3074 · arxiv_version: 1311.3074v4 · doi: 10.48550/arxiv.1311.3074 · pith_short_12: 543Y5LRUAFFP · pith_short_16: 543Y5LRUAFFPVG67 · pith_short_8: 543Y5LRU

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/543Y5LRUAFFPVG67V6PH2Z5L54 \
  | 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: ef378eae34014afa9bdfaf9e7d67abef11a12bf2e036c7aa06c557103e6b1e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a07ab9e331d8d73ae106462575e2b92f225021561cf4298b5799acf8913f855",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-11-13T10:36:25Z",
    "title_canon_sha256": "37545142b23d3b8f8cd7010c43677f2419aa3c3a05e8819181a4b2b21c9388fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3074",
    "kind": "arxiv",
    "version": 4
  }
}