Pith Number

pith:AD3E6PKV

pith:2025:AD3E6PKVEJUNZKYGQ5KJAXTHQQ

not attested not anchored not stored refs pending

Computing higher direct images in Macaulay2

Sasha Zotine

arxiv:2505.22835 v1 · 2025-05-28 · 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{AD3E6PKVEJUNZKYGQ5KJAXTHQQ}

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	2026-07-05T11:11:50.547578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f64f3d552268dcab068754905e67840605b9358828fb6cee9916bf72807e3d

Aliases

arxiv: 2505.22835 · arxiv_version: 2505.22835v1 · doi: 10.48550/arxiv.2505.22835 · pith_short_12: AD3E6PKVEJUN · pith_short_16: AD3E6PKVEJUNZKYG · pith_short_8: AD3E6PKV

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/AD3E6PKVEJUNZKYGQ5KJAXTHQQ \
  | 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: 00f64f3d552268dcab068754905e67840605b9358828fb6cee9916bf72807e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76159a8b00f72c7f4d2d1ebad6ece1b886c56b715f2f34d0fabe03aae60566ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-28T20:15:22Z",
    "title_canon_sha256": "dfbc79f5b770a915448533e25fa9b9574ec659934ba30e0b03ad6a63afe365d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22835",
    "kind": "arxiv",
    "version": 1
  }
}