Pith Number

pith:G4NZ5BUQ

pith:2013:G4NZ5BUQAVVRCXWYQI4RHHDUI3

not attested not anchored not stored refs pending

A spectral sequence for the homology of a finite algebraic delooping

Birgit Richter, Stephanie Ziegenhagen

arxiv:1302.0638 v4 · 2013-02-04 · 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{G4NZ5BUQAVVRCXWYQI4RHHDUI3}

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	2026-05-18T01:28:35.586748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371b9e8690056b115ed88239139c7446f4e6bcef328b2156ff6259e11abb8726

Aliases

arxiv: 1302.0638 · arxiv_version: 1302.0638v4 · doi: 10.48550/arxiv.1302.0638 · pith_short_12: G4NZ5BUQAVVR · pith_short_16: G4NZ5BUQAVVRCXWY · pith_short_8: G4NZ5BUQ

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/G4NZ5BUQAVVRCXWYQI4RHHDUI3 \
  | 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: 371b9e8690056b115ed88239139c7446f4e6bcef328b2156ff6259e11abb8726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893ac38efadb0c03aa25511c05a7d928d01385235bf333a6261c2fc966b41d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-04T10:34:20Z",
    "title_canon_sha256": "a113b43561719f7959a3031b19418e4adf9d528b25d6c3c0ed9553170f07cee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0638",
    "kind": "arxiv",
    "version": 4
  }
}