Pith Number

pith:W5NZPQ2B

pith:2014:W5NZPQ2BIFA2N7GMLKIHPEX764

not attested not anchored not stored refs pending

Homotopy-theoretically enriched categories of noncommutative motives

Jack Morava

arxiv:1402.3693 v4 · 2014-02-15 · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5NZPQ2BIFA2N7GMLKIHPEX764}

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	2026-05-18T01:55:34.058961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75b97c3414141a6fccc5a907792fff70bf4f43ecffa302e835ad9eaf8b99748

Aliases

arxiv: 1402.3693 · arxiv_version: 1402.3693v4 · doi: 10.48550/arxiv.1402.3693 · pith_short_12: W5NZPQ2BIFA2 · pith_short_16: W5NZPQ2BIFA2N7GM · pith_short_8: W5NZPQ2B

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/W5NZPQ2BIFA2N7GMLKIHPEX764 \
  | 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: b75b97c3414141a6fccc5a907792fff70bf4f43ecffa302e835ad9eaf8b99748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8016dc6e66c305b64df37378da3d6ef8f8c3d8b61f046b5090588a01fff4e05",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-02-15T13:49:52Z",
    "title_canon_sha256": "50075d4e353354bb30cbf7cce039aa13103513deb18ce37161f39c149b8b34c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3693",
    "kind": "arxiv",
    "version": 4
  }
}