Pith Number

pith:3C3XMDU5

pith:2017:3C3XMDU5IJN6IMHUURONWFYLEK

not attested not anchored not stored refs pending

The comprehension construction

Dominic Verity, Emily Riehl

arxiv:1706.10023 v2 · 2017-06-30 · math.CT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3C3XMDU5IJN6IMHUURONWFYLEK}

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	2026-05-18T00:07:55.567575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b7760e9d425be430f4a45cdb170b22bc743927551c14336f174f3a1d904b96

Aliases

arxiv: 1706.10023 · arxiv_version: 1706.10023v2 · doi: 10.48550/arxiv.1706.10023 · pith_short_12: 3C3XMDU5IJN6 · pith_short_16: 3C3XMDU5IJN6IMHU · pith_short_8: 3C3XMDU5

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/3C3XMDU5IJN6IMHUURONWFYLEK \
  | 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: d8b7760e9d425be430f4a45cdb170b22bc743927551c14336f174f3a1d904b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca8396e3e3c851800afe9204004381e4ee8c0502ca86376e86271990ab88fa0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-06-30T05:04:44Z",
    "title_canon_sha256": "f189569532e41645486d831cfb6608c1969d9e4c0722c98cf0d108e48fd04964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10023",
    "kind": "arxiv",
    "version": 2
  }
}