Pith Number

pith:TWRQDHOZ

pith:2013:TWRQDHOZRE34HAO42NOIXBSYPG

not attested not anchored not stored refs pending

The 2-category theory of quasi-categories

Dominic Verity, Emily Riehl

arxiv:1306.5144 v4 · 2013-06-21 · math.CT · 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{TWRQDHOZRE34HAO42NOIXBSYPG}

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	2026-05-18T01:46:14.363850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da3019dd98937c381dcd35c8b865879b307652960e83b88003f452aaec8800a

Aliases

arxiv: 1306.5144 · arxiv_version: 1306.5144v4 · doi: 10.48550/arxiv.1306.5144 · pith_short_12: TWRQDHOZRE34 · pith_short_16: TWRQDHOZRE34HAO4 · pith_short_8: TWRQDHOZ

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/TWRQDHOZRE34HAO42NOIXBSYPG \
  | 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: 9da3019dd98937c381dcd35c8b865879b307652960e83b88003f452aaec8800a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e1ad29fbe88e45a32c95f7f3f1f4a47b448a155cb3d395fa975f023b483b65",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-06-21T14:06:32Z",
    "title_canon_sha256": "ca830fa1fe664c74a30d5ab7c0704c840006d0ea60e6a4ab1744c4a89a63dd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5144",
    "kind": "arxiv",
    "version": 4
  }
}