Pith Number

pith:Y2KBW7MR

pith:2015:Y2KBW7MR2FS7CCR3MPFAJAGYC5

not attested not anchored not stored refs pending

Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes

David Carchedi, Mattia Talpo, Nicol\`o Sibilla, Sarah Scherotzke

arxiv:1511.00037 v2 · 2015-10-30 · math.AG · 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{Y2KBW7MR2FS7CCR3MPFAJAGYC5}

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	2026-05-18T00:21:00.071063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6941b7d91d165f10a3b63ca0480d817419ade3df6af6a73fdfd5e9a524df32b

Aliases

arxiv: 1511.00037 · arxiv_version: 1511.00037v2 · doi: 10.48550/arxiv.1511.00037 · pith_short_12: Y2KBW7MR2FS7 · pith_short_16: Y2KBW7MR2FS7CCR3 · pith_short_8: Y2KBW7MR

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/Y2KBW7MR2FS7CCR3MPFAJAGYC5 \
  | 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: c6941b7d91d165f10a3b63ca0480d817419ade3df6af6a73fdfd5e9a524df32b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde34d6c5691379386b60e031b1bfc6f96dcd287c05200f22fcc8fa94d84da53",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-30T22:08:46Z",
    "title_canon_sha256": "01bf76aa0b0e627b767fc9626e71e334b6ff9d3746c64d8b4185598c69a5c5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00037",
    "kind": "arxiv",
    "version": 2
  }
}