Pith Number

pith:I23A4PSJ

pith:2018:I23A4PSJ4FFTA3N66SCXH2AJ45

not attested not anchored not stored refs pending

Comparing material and structural set theories

Michael Shulman

arxiv:1808.05204 v3 · 2018-08-15 · 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{I23A4PSJ4FFTA3N66SCXH2AJ45}

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	2026-05-17T23:59:22.403257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b60e3e49e14b306dbef48573e809e77085fddfabd2e25d5ac1a773d1cf31b5

Aliases

arxiv: 1808.05204 · arxiv_version: 1808.05204v3 · doi: 10.48550/arxiv.1808.05204 · pith_short_12: I23A4PSJ4FFT · pith_short_16: I23A4PSJ4FFTA3N6 · pith_short_8: I23A4PSJ

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/I23A4PSJ4FFTA3N66SCXH2AJ45 \
  | 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: 46b60e3e49e14b306dbef48573e809e77085fddfabd2e25d5ac1a773d1cf31b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "754d553ffb24299f7a507e87ccea0e61c2e9b69cd2f844421e3ba587cc60c66a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-15T17:51:40Z",
    "title_canon_sha256": "37c8b4f54c0f687079d9671274cc36453a6dae8262da166382f3f71a6e952041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05204",
    "kind": "arxiv",
    "version": 3
  }
}