Pith Number

pith:C3USHIAW

pith:2013:C3USHIAWIGRE4DJVFWPF4NNBWX

not attested not anchored not stored refs pending

Higher Homotopies in a Hierarchy of Univalent Universes

Christian Sattler, Nicolai Kraus

arxiv:1311.4002 v3 · 2013-11-15 · math.LO · cs.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{C3USHIAWIGRE4DJVFWPF4NNBWX}

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	2026-05-18T01:59:38.935052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e923a01641a24e0d352d9e5e35a1b5c2357538926b07b6173041cc3f54b5e3

Aliases

arxiv: 1311.4002 · arxiv_version: 1311.4002v3 · doi: 10.48550/arxiv.1311.4002 · pith_short_12: C3USHIAWIGRE · pith_short_16: C3USHIAWIGRE4DJV · pith_short_8: C3USHIAW

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/C3USHIAWIGRE4DJVFWPF4NNBWX \
  | 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: 16e923a01641a24e0d352d9e5e35a1b5c2357538926b07b6173041cc3f54b5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45ba33155b677f98462d8168632a152f97b05079ac974d0a4b01e2b027cd4d5",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-11-15T23:34:16Z",
    "title_canon_sha256": "60333756702a8985538cf57476b0005a4171699133a59cd8ceaffe73a6c04257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4002",
    "kind": "arxiv",
    "version": 3
  }
}