Pith Number

pith:UM2DF4TX

pith:2011:UM2DF4TXN5ZWV4AGHAU3K45BV6

not attested not anchored not stored refs pending

Set-Theoretic Geology

Gunter Fuchs, Joel David Hamkins, Jonas Reitz

arxiv:1107.4776 v2 · 2011-07-24 · 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{UM2DF4TXN5ZWV4AGHAU3K45BV6}

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	2026-05-18T02:34:45.272373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33432f2776f736af0063829b573a1af924357d59623dc333b217c046e005cc1

Aliases

arxiv: 1107.4776 · arxiv_version: 1107.4776v2 · doi: 10.48550/arxiv.1107.4776 · pith_short_12: UM2DF4TXN5ZW · pith_short_16: UM2DF4TXN5ZWV4AG · pith_short_8: UM2DF4TX

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/UM2DF4TXN5ZWV4AGHAU3K45BV6 \
  | 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: a33432f2776f736af0063829b573a1af924357d59623dc333b217c046e005cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56292d8383e9dc217b7a665b3261c5db001d02475c7c043736701b3503cc0e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-07-24T17:55:27Z",
    "title_canon_sha256": "aa5a9dbba950dcdd94cb53122fc0b8097a06df5451af20140419619bbd0eed3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4776",
    "kind": "arxiv",
    "version": 2
  }
}