Pith Number

pith:LE2LV6VY

pith:2017:LE2LV6VYNVWYKDSEVEPCZMNDIU

not attested not anchored not stored refs pending

A type theory for synthetic $\infty$-categories

Emily Riehl, Michael Shulman

arxiv:1705.07442 v5 · 2017-05-21 · math.CT · 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{LE2LV6VYNVWYKDSEVEPCZMNDIU}

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

3 papers in Pith

Directed proof-relevant logical relations in simplicial HoTT

Decalf: A Directed, Effectful Cost-Aware Logical Framework

Doctrinal Semantics of Directed First-Order Logic

Receipt and verification

First computed	2026-07-05T06:18:33.893598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5934bafab86d6d850e44a91e2cb1a34501f680d69765ae6f59f494592509982c

Aliases

arxiv: 1705.07442 · arxiv_version: 1705.07442v5 · doi: 10.48550/arxiv.1705.07442 · pith_short_12: LE2LV6VYNVWY · pith_short_16: LE2LV6VYNVWYKDSE · pith_short_8: LE2LV6VY

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/LE2LV6VYNVWYKDSEVEPCZMNDIU \
  | 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: 5934bafab86d6d850e44a91e2cb1a34501f680d69765ae6f59f494592509982c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f24494375736e24017cb863de53cfc52fe2cb1d3df96e83ba660514d93d6a6",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-05-21T12:21:59Z",
    "title_canon_sha256": "bf07506d603d83edb9246c23af2d29c99c1d945624dcffd77d62bec7750a3db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07442",
    "kind": "arxiv",
    "version": 5
  }
}