Pith Number

pith:N5MCTGTL

pith:2018:N5MCTGTLP7ADP26LHSWXVDH4PI

not attested not anchored not stored refs pending

Higher Groups in Homotopy Type Theory

Egbert Rijke, Floris van Doorn, Ulrik Buchholtz

arxiv:1802.04315 v1 · 2018-02-12 · cs.LO · math.AT · 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{N5MCTGTLP7ADP26LHSWXVDH4PI}

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	2026-05-18T00:23:44.556096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f58299a6b7fc037ebcb3cad7a8cfc7a11d0f225dfcb84044c590b0c90d31581

Aliases

arxiv: 1802.04315 · arxiv_version: 1802.04315v1 · doi: 10.48550/arxiv.1802.04315 · pith_short_12: N5MCTGTLP7AD · pith_short_16: N5MCTGTLP7ADP26L · pith_short_8: N5MCTGTL

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/N5MCTGTLP7ADP26LHSWXVDH4PI \
  | 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: 6f58299a6b7fc037ebcb3cad7a8cfc7a11d0f225dfcb84044c590b0c90d31581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7591454101305fc11d1014b4cb7053336e8d7e49dfba43c5d4d1b4367c889862",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-02-12T19:26:26Z",
    "title_canon_sha256": "91050140c479089b242b11c33b938d5230cb6644c46201c3f7a024c2320bc79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04315",
    "kind": "arxiv",
    "version": 1
  }
}