Pith Number

pith:467ET7H2

pith:2016:467ET7H2UR26KEQZQRU6DNTFRT

not attested not anchored not stored refs pending

The HoTT Library: A formalization of homotopy type theory in Coq

Andrej Bauer, Bas Spitters, Jason Gross, Matthieu Sozeau, Mike Shulman, Peter LeFanu Lumsdaine

arxiv:1610.04591 v2 · 2016-10-14 · cs.LO · 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{467ET7H2UR26KEQZQRU6DNTFRT}

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	2026-05-18T00:45:22.276606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7be49fcfaa475e512198469e1b6658cecdc2addd91e75f25e6e2549100ffc1a

Aliases

arxiv: 1610.04591 · arxiv_version: 1610.04591v2 · doi: 10.48550/arxiv.1610.04591 · pith_short_12: 467ET7H2UR26 · pith_short_16: 467ET7H2UR26KEQZ · pith_short_8: 467ET7H2

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/467ET7H2UR26KEQZQRU6DNTFRT \
  | 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: e7be49fcfaa475e512198469e1b6658cecdc2addd91e75f25e6e2549100ffc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70ae6cec267ca20b37d903bc493691323665a0c396dcdc89e395e04f657e88f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-10-14T19:23:50Z",
    "title_canon_sha256": "305da70791d370c0915600db49031d5504e84be0682094db98c9862fa852cf74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04591",
    "kind": "arxiv",
    "version": 2
  }
}