Pith Number

pith:KPBND4PZ

pith:2014:KPBND4PZ6JOH5OB2LDAJIONESN

not attested not anchored not stored refs pending

The General Universal Property of the Propositional Truncation

Nicolai Kraus

arxiv:1411.2682 v3 · 2014-11-11 · 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{KPBND4PZ6JOH5OB2LDAJIONESN}

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	2026-05-18T01:29:31.965558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c2d1f1f9f25c7eb83a58c09439a4937ef52044fb27228ac4e7cebd25ef878c

Aliases

arxiv: 1411.2682 · arxiv_version: 1411.2682v3 · doi: 10.48550/arxiv.1411.2682 · pith_short_12: KPBND4PZ6JOH · pith_short_16: KPBND4PZ6JOH5OB2 · pith_short_8: KPBND4PZ

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/KPBND4PZ6JOH5OB2LDAJIONESN \
  | 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: 53c2d1f1f9f25c7eb83a58c09439a4937ef52044fb27228ac4e7cebd25ef878c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0147642eea02ade52e20172002ecc4c348af4eeff26ed6398ea5c9f02d3c14c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-11T02:24:22Z",
    "title_canon_sha256": "366cd8f2beebf139c83b078fba82d8d91f4de5680781f0d68a98e6a65e9780dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2682",
    "kind": "arxiv",
    "version": 3
  }
}