Pith Number

pith:QFTYQM2J

pith:2014:QFTYQM2J2TELJ3AYZNKIP7JQKN

not attested not anchored not stored refs pending

Left-induced model structures and diagram categories

Brooke Shipley, Emily Riehl, Kathryn Hess, Magdalena Kedziorek, Marzieh Bayeh, Varvara Karpova

arxiv:1401.3651 v2 · 2014-01-15 · math.AT · 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{QFTYQM2J2TELJ3AYZNKIP7JQKN}

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	2026-05-18T02:54:54.317045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8167883349d4c8b4ec18cb5487fd30534a441343747d96e64b0068cbd5eb3153

Aliases

arxiv: 1401.3651 · arxiv_version: 1401.3651v2 · doi: 10.48550/arxiv.1401.3651 · pith_short_12: QFTYQM2J2TEL · pith_short_16: QFTYQM2J2TELJ3AY · pith_short_8: QFTYQM2J

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/QFTYQM2J2TELJ3AYZNKIP7JQKN \
  | 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: 8167883349d4c8b4ec18cb5487fd30534a441343747d96e64b0068cbd5eb3153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c333e4dca20dea230c585b5ad25982b6adb6db16d414902b58649426117618b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-01-15T16:11:23Z",
    "title_canon_sha256": "11f2d9cb352ae53ca1236d1934a570abcf2060d0c6e510e3e0fdd91ee5902d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3651",
    "kind": "arxiv",
    "version": 2
  }
}