Pith Number

pith:ZQ5UPF7R

pith:2013:ZQ5UPF7RB6FI365YGMIQTTV6CO

not attested not anchored not stored refs pending

Calculus of functors and model categories II

Georg Biedermann, Oliver R\"ondigs

arxiv:1305.2834 v3 · 2013-05-13 · 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{ZQ5UPF7RB6FI365YGMIQTTV6CO}

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	2026-05-18T02:32:54.500365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3b4797f10f8a8dfbb8331109cebe13980bbb344c8d479b618afd681a6f0f5d

Aliases

arxiv: 1305.2834 · arxiv_version: 1305.2834v3 · doi: 10.48550/arxiv.1305.2834 · pith_short_12: ZQ5UPF7RB6FI · pith_short_16: ZQ5UPF7RB6FI365Y · pith_short_8: ZQ5UPF7R

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/ZQ5UPF7RB6FI365YGMIQTTV6CO \
  | 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: cc3b4797f10f8a8dfbb8331109cebe13980bbb344c8d479b618afd681a6f0f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722cc3d7b0af71a29255c8580ddcd1cff23d98f0f3dac9c95d7d0f89c5609949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-05-13T16:26:22Z",
    "title_canon_sha256": "5f79ec92239f35bfb0279ff11ec1ed2288803ad07e7b5a0987414dc81c4ae4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2834",
    "kind": "arxiv",
    "version": 3
  }
}