Pith Number

pith:E6YWY34H

pith:2015:E6YWY34HZQVILQULWCFWGXGY64

not attested not anchored not stored refs pending

Operads, tensor products, and the categorical Borel construction

Nick Gurski

arxiv:1508.04050 v1 · 2015-08-17 · math.CT · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6YWY34HZQVILQULWCFWGXGY64}

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	2026-05-18T01:35:12.933790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b16c6f87cc2a85c28bb08b635cd8f73c1bdfec74c9269b080b370258db6981

Aliases

arxiv: 1508.04050 · arxiv_version: 1508.04050v1 · doi: 10.48550/arxiv.1508.04050 · pith_short_12: E6YWY34HZQVI · pith_short_16: E6YWY34HZQVILQUL · pith_short_8: E6YWY34H

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/E6YWY34HZQVILQULWCFWGXGY64 \
  | 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: 27b16c6f87cc2a85c28bb08b635cd8f73c1bdfec74c9269b080b370258db6981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7a2076bfaa04b7f6294156d5bdb95012a24b9df06e332ea497b49b9f91987a",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-08-17T15:12:27Z",
    "title_canon_sha256": "eaa2f514bb15a640b8ffac05e2ec2c4838485187711d2e7b8013a0794358f2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04050",
    "kind": "arxiv",
    "version": 1
  }
}