Pith Number

pith:R64ZHZMD

pith:2018:R64ZHZMDMZIULH7L3GNEVWRBQX

not attested not anchored not stored refs pending

Towards a directed homotopy type theory

Paige Randall North

arxiv:1807.10566 v1 · 2018-07-27 · cs.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{R64ZHZMDMZIULH7L3GNEVWRBQX}

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	2026-05-18T00:09:40.193078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb993e5836651459febd99a4ada2185e5bbcc8060d14ea69450340a546970d0

Aliases

arxiv: 1807.10566 · arxiv_version: 1807.10566v1 · doi: 10.48550/arxiv.1807.10566 · pith_short_12: R64ZHZMDMZIU · pith_short_16: R64ZHZMDMZIULH7L · pith_short_8: R64ZHZMD

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/R64ZHZMDMZIULH7L3GNEVWRBQX \
  | 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: 8fb993e5836651459febd99a4ada2185e5bbcc8060d14ea69450340a546970d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02a39c1fdfb6438c8d1a03a6335a0eb23f09ef72b90290f782613882a1ece6b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-07-27T13:05:36Z",
    "title_canon_sha256": "a10b64bf7a1986d29a326aa3514072a095ec68e6b78ed33e0b9337502a45dc56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10566",
    "kind": "arxiv",
    "version": 1
  }
}