Pith Number

pith:GXHO42DD

pith:2020:GXHO42DDDLWV52EGHFKKJ4ODI7

not attested not anchored not stored refs pending

Milnor excision for motivic spectra

Elden Elmanto, Marc Hoyois, Ryomei Iwasa, Shane Kelly

arxiv:2004.12098 v2 · 2020-04-25 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXHO42DDDLWV52EGHFKKJ4ODI7}

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	2026-07-05T03:03:24.844457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ceee68631aed5ee8863954a4f1c347f464d7be9ce2281091de592f082cbc90

Aliases

arxiv: 2004.12098 · arxiv_version: 2004.12098v2 · doi: 10.48550/arxiv.2004.12098 · pith_short_12: GXHO42DDDLWV · pith_short_16: GXHO42DDDLWV52EG · pith_short_8: GXHO42DD

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/GXHO42DDDLWV52EGHFKKJ4ODI7 \
  | 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: 35ceee68631aed5ee8863954a4f1c347f464d7be9ce2281091de592f082cbc90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d6cc3f564b2b08507834d7d9cfae986e82edbf6dc3c350b68026a2a3b8c6a9",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-25T09:36:35Z",
    "title_canon_sha256": "c47cbf75a5fdbbdca3f321238944a0f880129d517318ef43e98350c721e1f104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12098",
    "kind": "arxiv",
    "version": 2
  }
}