Pith Number

pith:OPIZZSYH

pith:2016:OPIZZSYHTYX7AVGRFO6LBHCIS2

not attested not anchored not stored refs pending

Formalising Real Numbers in Homotopy Type Theory

Ga\"etan Gilbert

arxiv:1610.05072 v2 · 2016-10-17 · cs.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{OPIZZSYHTYX7AVGRFO6LBHCIS2}

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	2026-05-18T00:55:35.603943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d19ccb079e2ff054d12bbcb09c489693fa1de35dd09a46a75fb0c9c190eb41

Aliases

arxiv: 1610.05072 · arxiv_version: 1610.05072v2 · doi: 10.48550/arxiv.1610.05072 · pith_short_12: OPIZZSYHTYX7 · pith_short_16: OPIZZSYHTYX7AVGR · pith_short_8: OPIZZSYH

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/OPIZZSYHTYX7AVGRFO6LBHCIS2 \
  | 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: 73d19ccb079e2ff054d12bbcb09c489693fa1de35dd09a46a75fb0c9c190eb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c20af0b0cc91b0c2dd80c961d64dffcfd72f9c26d8b8023d083711d774a78c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-10-17T12:25:48Z",
    "title_canon_sha256": "9322b96df6b791ce7e4297381dd4f8e006b560c3d2893504917871547a9318ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05072",
    "kind": "arxiv",
    "version": 2
  }
}