Pith Number

pith:WGKOPAUO

pith:2018:WGKOPAUOPE2BL6TP4B7WV5JAJV

not attested not anchored not stored refs pending

Mayer-Vietoris triangles for motives with modulus

Bruno Kahn, Hiroyasu Miyazaki

arxiv:1809.05851 v1 · 2018-09-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGKOPAUOPE2BL6TP4B7WV5JAJV}

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	2026-05-18T00:05:36.317048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b194e7828e793415fa6fe07f6af5204d543f1604853fe9aa665550496db48db1

Aliases

arxiv: 1809.05851 · arxiv_version: 1809.05851v1 · doi: 10.48550/arxiv.1809.05851 · pith_short_12: WGKOPAUOPE2B · pith_short_16: WGKOPAUOPE2BL6TP · pith_short_8: WGKOPAUO

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/WGKOPAUOPE2BL6TP4B7WV5JAJV \
  | 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: b194e7828e793415fa6fe07f6af5204d543f1604853fe9aa665550496db48db1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b40b45909d1023b471a764289f334c26a99c981cf64704e3564ff528a23524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-16T10:37:39Z",
    "title_canon_sha256": "d59439aad4dfecbed887046a53bb86ace24e77295fb338a5d86ff8d501b8cf05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05851",
    "kind": "arxiv",
    "version": 1
  }
}