Pith Number

pith:XHJ2Q4HQ

pith:2021:XHJ2Q4HQ7GJNR52TZ3AQVJ5BMC

not attested not anchored not stored refs pending

The derivator of setoids

Michael Shulman

arxiv:2105.08152 v2 · 2021-05-17 · 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{XHJ2Q4HQ7GJNR52TZ3AQVJ5BMC}

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	2026-07-05T02:46:13.907451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d3a870f0f992d8f753cec10aa7a160a4670bf7e0261eee69f95de808fe9ea5

Aliases

arxiv: 2105.08152 · arxiv_version: 2105.08152v2 · doi: 10.48550/arxiv.2105.08152 · pith_short_12: XHJ2Q4HQ7GJN · pith_short_16: XHJ2Q4HQ7GJNR52T · pith_short_8: XHJ2Q4HQ

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/XHJ2Q4HQ7GJNR52TZ3AQVJ5BMC \
  | 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: b9d3a870f0f992d8f753cec10aa7a160a4670bf7e0261eee69f95de808fe9ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df911162796abd5f1e57bc640a81a0d910e983bf3ca784709d6af13619b7b62e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-05-17T20:43:48Z",
    "title_canon_sha256": "ec25a77d040adcbd5427bb259a54ba3f24205b0d01c5a231fcd93537d9c8111a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08152",
    "kind": "arxiv",
    "version": 2
  }
}