Pith Number

pith:GXZQYJ3H

pith:2006:GXZQYJ3HRA57GSJ5N46CZIDDJB

not attested not anchored not stored refs pending

Quasi-categories vs Segal spaces

Andre Joyal, Myles Tierney

arxiv:math/0607820 v2 · 2006-07-31 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXZQYJ3HRA57GSJ5N46CZIDDJB}

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

A homotopy theory of coherently commutative monoidal quasi-categories

Receipt and verification

First computed	2026-07-04T14:56:03.716371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f30c2767883bf3493d6f3c2ca063484a33d46afea00b1d01ff41173de1555d

Aliases

arxiv: math/0607820 · arxiv_version: math/0607820v2 · doi: 10.48550/arxiv.math/0607820 · pith_short_12: GXZQYJ3HRA57 · pith_short_16: GXZQYJ3HRA57GSJ5 · pith_short_8: GXZQYJ3H

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/GXZQYJ3HRA57GSJ5N46CZIDDJB \
  | 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: 35f30c2767883bf3493d6f3c2ca063484a33d46afea00b1d01ff41173de1555d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31bc0d1dc05172beb16b8e71841fd339129a613f6509b92e817782e18086015",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-07-31T16:48:10Z",
    "title_canon_sha256": "5e72dee54881239ed43cf567c84283d640239d65f8403d0773c19f82d650c996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607820",
    "kind": "arxiv",
    "version": 2
  }
}