Pith Number

pith:WZN4RTXZ

pith:2011:WZN4RTXZAPPLIRVTJ4CYHVQLEY

not attested not anchored not stored refs pending

Monoidal algebraic model structures

Emily Riehl

arxiv:1109.2883 v3 · 2011-09-13 · math.CT · 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{WZN4RTXZAPPLIRVTJ4CYHVQLEY}

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	2026-05-18T03:34:59.708951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65bc8cef903deb446b34f0583d60b26361526bdc0b97cdebf1594b00bfb1355

Aliases

arxiv: 1109.2883 · arxiv_version: 1109.2883v3 · doi: 10.48550/arxiv.1109.2883 · pith_short_12: WZN4RTXZAPPL · pith_short_16: WZN4RTXZAPPLIRVT · pith_short_8: WZN4RTXZ

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/WZN4RTXZAPPLIRVTJ4CYHVQLEY \
  | 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: b65bc8cef903deb446b34f0583d60b26361526bdc0b97cdebf1594b00bfb1355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b710de363a6c6bbdf1f50a1659eb2b747c832c83fc8ac30b0292e45085b992e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-09-13T18:54:37Z",
    "title_canon_sha256": "76cda137927ca9e360e9bcbf660571b8704bf0a404d7161b9926e95331cd77e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2883",
    "kind": "arxiv",
    "version": 3
  }
}