Pith Number

pith:HWUWAF6X

pith:2009:HWUWAF6X3JK4QKPDEENIAMLC2T

not attested not anchored not stored refs pending

Algebraic model structures

Emily Riehl (University of Chicago)

arxiv:0910.2733 v3 · 2009-10-14 · 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{HWUWAF6X3JK4QKPDEENIAMLC2T}

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	2026-05-18T04:27:02.699734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da96017d7da55c829e3211a803162d4e2ef657a07979a216e65a073e52911fb

Aliases

arxiv: 0910.2733 · arxiv_version: 0910.2733v3 · doi: 10.48550/arxiv.0910.2733 · pith_short_12: HWUWAF6X3JK4 · pith_short_16: HWUWAF6X3JK4QKPD · pith_short_8: HWUWAF6X

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/HWUWAF6X3JK4QKPDEENIAMLC2T \
  | 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: 3da96017d7da55c829e3211a803162d4e2ef657a07979a216e65a073e52911fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e19d28f92da22de2b938b308755295e021e1930720e1513677e19d1b0f427a8f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-10-14T21:45:51Z",
    "title_canon_sha256": "427bb807538073beecf7b84261dc5f0062b6f1d122493d627c193a7cb36bab5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2733",
    "kind": "arxiv",
    "version": 3
  }
}