Pith Number

pith:XPAMNPE4

pith:2015:XPAMNPE4TQOGXLL2EHEQC2Y372

not attested not anchored not stored refs pending

Goodwillie's calculus via relative homological algebra. The abelian case

Teimuraz Pirashvili

arxiv:1504.00179 v1 · 2015-04-01 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPAMNPE4TQOGXLL2EHEQC2Y372}

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	2026-05-18T02:19:44.342126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc0c6bc9c9c1c6bad7a21c9016b1bfebcc3fc11904cb84fe2da197c2fa6dfa9

Aliases

arxiv: 1504.00179 · arxiv_version: 1504.00179v1 · doi: 10.48550/arxiv.1504.00179 · pith_short_12: XPAMNPE4TQOG · pith_short_16: XPAMNPE4TQOGXLL2 · pith_short_8: XPAMNPE4

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/XPAMNPE4TQOGXLL2EHEQC2Y372 \
  | 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: bbc0c6bc9c9c1c6bad7a21c9016b1bfebcc3fc11904cb84fe2da197c2fa6dfa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4f5267e849d02f9b12a1cdf86cd84764441cd57aa485dd127d5460f0c35353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-04-01T11:14:39Z",
    "title_canon_sha256": "b52c03975e1fb4d9a6606bd4b491fd6586aa638a7ac6e7dbc1e315a0c7816eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00179",
    "kind": "arxiv",
    "version": 1
  }
}