Pith Number

pith:GR4HDUYN

pith:2025:GR4HDUYNRY5MMEVB37NS4GBCHJ

not attested not anchored not stored refs pending

Higher extension closure and $d$-exact categories

Sondre Kvamme

arxiv:2502.21064 v3 · 2025-02-28 · math.RT · 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{GR4HDUYNRY5MMEVB37NS4GBCHJ}

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	2026-05-26T01:03:11.328570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347871d30d8e3ac612a1dfdb2e18223a74dd304213ede1510e255bb511d89fe3

Aliases

arxiv: 2502.21064 · arxiv_version: 2502.21064v3 · doi: 10.48550/arxiv.2502.21064 · pith_short_12: GR4HDUYNRY5M · pith_short_16: GR4HDUYNRY5MMEVB · pith_short_8: GR4HDUYN

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/GR4HDUYNRY5MMEVB37NS4GBCHJ \
  | 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: 347871d30d8e3ac612a1dfdb2e18223a74dd304213ede1510e255bb511d89fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1c5c31d044a2282ae29b791827d74330c8f1d2c028bbbb0a6be0a7bf23a281",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-02-28T14:01:06Z",
    "title_canon_sha256": "a4b3dbbc09ed829bf8d46da7333a698c2aa2384bb3be2b075bb0205f79e14ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.21064",
    "kind": "arxiv",
    "version": 3
  }
}