Pith Number

pith:MMNH3H65

pith:2013:MMNH3H65OUTP2LI75AYJVP2EZK

not attested not anchored not stored refs pending

On the Q construction for exact quasicategories

C. Barwick

arxiv:1301.4725 v2 · 2013-01-21 · math.KT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMNH3H65OUTP2LI75AYJVP2EZK}

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

The span-squares adjunction

Receipt and verification

First computed	2026-05-18T03:19:22.311391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631a7d9fdd7526fd2d1fe8309abf44ca8aca22ab0a9f1827d5a0d2d0bc34f934

Aliases

arxiv: 1301.4725 · arxiv_version: 1301.4725v2 · doi: 10.48550/arxiv.1301.4725 · pith_short_12: MMNH3H65OUTP · pith_short_16: MMNH3H65OUTP2LI7 · pith_short_8: MMNH3H65

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/MMNH3H65OUTP2LI75AYJVP2EZK \
  | 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: 631a7d9fdd7526fd2d1fe8309abf44ca8aca22ab0a9f1827d5a0d2d0bc34f934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0bdaea5770de15929d0a06466bc5d6a4ebf7ee5602e6b090ca6dced194cd2e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-01-21T01:56:22Z",
    "title_canon_sha256": "16d05d8f64dae42b7ea7e0c382a46760a1b862acdc3c40f3ab895343667f2a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4725",
    "kind": "arxiv",
    "version": 2
  }
}