Pith. sign in
Pith Number

pith:UJ2JK3XS

pith:2023:UJ2JK3XSXBQXDARAU5CMYL6FTV
not attested not anchored not stored refs pending

Proper morphisms of $\infty$-topoi

Louis Martini, Sebastian Wolf

arxiv:2311.08051 v3 · 2023-11-14 · math.CT · math.AT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UJ2JK3XSXBQXDARAU5CMYL6FTV}

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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

Receipt and verification
First computed 2026-07-05T10:32:24.069968Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a274956ef2b861718220a744cc2fc59d411347474677db9e486294c365356da9

Aliases

arxiv: 2311.08051 · arxiv_version: 2311.08051v3 · doi: 10.48550/arxiv.2311.08051 · pith_short_12: UJ2JK3XSXBQX · pith_short_16: UJ2JK3XSXBQXDARA · pith_short_8: UJ2JK3XS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UJ2JK3XSXBQXDARAU5CMYL6FTV \
  | 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: a274956ef2b861718220a744cc2fc59d411347474677db9e486294c365356da9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b52317ff841da50c84245a9a131ee75fdbab3615d487d3d85af14ba5afe51a2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-11-14T10:17:33Z",
    "title_canon_sha256": "a7c1a409735bdcd03fecdb3f20700ccbbb667d944d9d5b2d03cb16066ab02032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08051",
    "kind": "arxiv",
    "version": 3
  }
}