Pith Number

pith:2B5GBSQ2

pith:2017:2B5GBSQ2PSFU2QZHM7ME5UQOTW

not attested not anchored not stored refs pending

Toposes from Forcing for Intuitionistic ZF with Atoms

Keita Yamamoto

arxiv:1702.03399 v2 · 2017-02-11 · math.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2B5GBSQ2PSFU2QZHM7ME5UQOTW}

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	2026-05-18T00:21:28.863806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07a60ca1a7c8b4d432767d84ed20e9d88e3032925eac7fa337e1a64154c8d33

Aliases

arxiv: 1702.03399 · arxiv_version: 1702.03399v2 · doi: 10.48550/arxiv.1702.03399 · pith_short_12: 2B5GBSQ2PSFU · pith_short_16: 2B5GBSQ2PSFU2QZH · pith_short_8: 2B5GBSQ2

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/2B5GBSQ2PSFU2QZHM7ME5UQOTW \
  | 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: d07a60ca1a7c8b4d432767d84ed20e9d88e3032925eac7fa337e1a64154c8d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ed8667a344c1e32effb15bf14320f1a8229ce2dc6356d6158f9d821ae55642",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-02-11T09:16:02Z",
    "title_canon_sha256": "62ab57ccfbb35e0e16f122fe8723e36a7076ac5f5ef13ca4cd84d9916cb8baa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03399",
    "kind": "arxiv",
    "version": 2
  }
}