Pith Number

pith:6Y46IUV5

pith:2025:6Y46IUV52RHAVZ7XVQTPJ3QO46

not attested not anchored not stored refs pending

Duality for KGL-modules in motivic homotopy theory

Christian Dahlhausen, Jeroen Hekking, Storm Wolters

arxiv:2508.00064 v1 · 2025-07-31 · math.KT · 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{6Y46IUV52RHAVZ7XVQTPJ3QO46}

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	2026-07-05T11:46:48.227149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f639e452bdd44e0ae7f7ac26f4ee0ee789f817a0ca7bb47360545ed9f0ca4fe7

Aliases

arxiv: 2508.00064 · arxiv_version: 2508.00064v1 · doi: 10.48550/arxiv.2508.00064 · pith_short_12: 6Y46IUV52RHA · pith_short_16: 6Y46IUV52RHAVZ7X · pith_short_8: 6Y46IUV5

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/6Y46IUV52RHAVZ7XVQTPJ3QO46 \
  | 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: f639e452bdd44e0ae7f7ac26f4ee0ee789f817a0ca7bb47360545ed9f0ca4fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92fd39ff3606641c26fead9e95745f3b560d3a4bc3e336dc989b46b85ed5e674",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-31T18:00:05Z",
    "title_canon_sha256": "4a978f726f59999b8206bc8ba9957f50e13da21f231a09d3a80bc575b0ec4cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.00064",
    "kind": "arxiv",
    "version": 1
  }
}