Pith Number

pith:A3QSQIO6

pith:2017:A3QSQIO6SXRTA2EVXDVQ4VE2D4

not attested not anchored not stored refs pending

Notes on Clans and Tribes

Andre Joyal

arxiv:1710.10238 v1 · 2017-10-27 · math.CT · math.AT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3QSQIO6SXRTA2EVXDVQ4VE2D4}

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.

Cited by

1 paper in Pith

Elementary $\infty$-toposes from type theory

Receipt and verification

First computed	2026-05-18T00:31:54.481809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e12821de95e3306895b8eb0e549a1f131d67ac7efd4bd2a60acfa4e1303cea

Aliases

arxiv: 1710.10238 · arxiv_version: 1710.10238v1 · doi: 10.48550/arxiv.1710.10238 · pith_short_12: A3QSQIO6SXRT · pith_short_16: A3QSQIO6SXRTA2EV · pith_short_8: A3QSQIO6

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/A3QSQIO6SXRTA2EVXDVQ4VE2D4 \
  | 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: 06e12821de95e3306895b8eb0e549a1f131d67ac7efd4bd2a60acfa4e1303cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f14d4d0e95daeaea61201b7c5a0d3972be6ef4735eceb5c4c20532ebfbbc6b",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-10-27T16:56:36Z",
    "title_canon_sha256": "c4f4e105830862d8638a223b85c9c797944bb8500cf63922e1018f35fc9c6fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10238",
    "kind": "arxiv",
    "version": 1
  }
}