Pith Number

pith:IRDYMY5I

pith:2012:IRDYMY5INCMTQRW7F6H4LJL3LF

not attested not anchored not stored refs pending

The homotopy theory of coalgebras over a comonad

Brooke Shipley, Kathryn Hess

arxiv:1205.3979 v2 · 2012-05-17 · math.AT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRDYMY5INCMTQRW7F6H4LJL3LF}

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	2026-05-18T02:57:53.563232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44478663a868993846df2f8fc5a57b5952c661af8f45bb183f07cd7f9a3afebc

Aliases

arxiv: 1205.3979 · arxiv_version: 1205.3979v2 · doi: 10.48550/arxiv.1205.3979 · pith_short_12: IRDYMY5INCMT · pith_short_16: IRDYMY5INCMTQRW7 · pith_short_8: IRDYMY5I

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/IRDYMY5INCMTQRW7F6H4LJL3LF \
  | 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: 44478663a868993846df2f8fc5a57b5952c661af8f45bb183f07cd7f9a3afebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0baad27bf2c7912ca46af859c153cec38f02ab61647ef3d9fc5070f8992554ec",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-05-17T16:38:57Z",
    "title_canon_sha256": "bab429cb411a0aef49f6339c7ed564aacf11e7b7de06fc5168cb2e5dcf7bfa3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3979",
    "kind": "arxiv",
    "version": 2
  }
}