Pith Number

pith:45EDYZLD

pith:2015:45EDYZLDOIBJWX633G4VYBI73Y

not attested not anchored not stored refs pending

Hochschild homology, lax codescent, and duplicial structure

Paul Slevin, Richard Garner, Stephen Lack

arxiv:1510.08925 v1 · 2015-10-29 · math.CT · math.KT · 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{45EDYZLDOIBJWX633G4VYBI73Y}

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	2026-05-18T00:21:00.096187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7483c656372029b5fdbd9b95c051fde0110b37a666e9ec57688bce3637217e0

Aliases

arxiv: 1510.08925 · arxiv_version: 1510.08925v1 · doi: 10.48550/arxiv.1510.08925 · pith_short_12: 45EDYZLDOIBJ · pith_short_16: 45EDYZLDOIBJWX63 · pith_short_8: 45EDYZLD

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/45EDYZLDOIBJWX633G4VYBI73Y \
  | 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: e7483c656372029b5fdbd9b95c051fde0110b37a666e9ec57688bce3637217e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38cc6e9ab733c6194adc446286b14f87f8454a18258be1134c5fef41b8caa169",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-10-29T22:10:12Z",
    "title_canon_sha256": "9a3a25ed7fc91ffbe02680b8c63e2d63e83b812ae7a8927b1a60984a42f0310c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08925",
    "kind": "arxiv",
    "version": 1
  }
}