Pith Number

pith:ZDSXLE7Y

pith:2017:ZDSXLE7Y7VMGA4PDTXN575AWCR

not attested not anchored not stored refs pending

Coalgebras in symmetric monoidal categories of spectra

Brooke Shipley, Maximilien P\'eroux

arxiv:1708.02592 v3 · 2017-08-08 · 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{ZDSXLE7Y7VMGA4PDTXN575AWCR}

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	2026-05-18T00:18:09.547239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e57593f8fd586071e39ddbdff416145df0dbcb498df127a00fe3fbd4f80ace

Aliases

arxiv: 1708.02592 · arxiv_version: 1708.02592v3 · doi: 10.48550/arxiv.1708.02592 · pith_short_12: ZDSXLE7Y7VMG · pith_short_16: ZDSXLE7Y7VMGA4PD · pith_short_8: ZDSXLE7Y

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/ZDSXLE7Y7VMGA4PDTXN575AWCR \
  | 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: c8e57593f8fd586071e39ddbdff416145df0dbcb498df127a00fe3fbd4f80ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac9ccc115cde42ec0a64fede5370ed35599ac2d13e6f9a38a089ccbfe502c13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-08T18:00:24Z",
    "title_canon_sha256": "ac31670234215fe9296e3630334450e6943b17aa0219784305b913d5356b2560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02592",
    "kind": "arxiv",
    "version": 3
  }
}