Pith Number

pith:MU32G7NA

pith:2019:MU32G7NA2O6WKSCA7GRSR6O5B5

not attested not anchored not stored refs pending

RationalMaps, a package for Macaulay2

C.J. Bott, Daniel Smolkin, Karl Schwede, S. Hamid Hassanzadeh

arxiv:1908.04337 v2 · 2019-08-12 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU32G7NA2O6WKSCA7GRSR6O5B5}

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	2026-07-05T05:35:10.437201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6537a37da0d3bd654840f9a328f9dd0f49f9c233650831fe2db6c85bb1352d25

Aliases

arxiv: 1908.04337 · arxiv_version: 1908.04337v2 · doi: 10.48550/arxiv.1908.04337 · pith_short_12: MU32G7NA2O6W · pith_short_16: MU32G7NA2O6WKSCA · pith_short_8: MU32G7NA

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/MU32G7NA2O6WKSCA7GRSR6O5B5 \
  | 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: 6537a37da0d3bd654840f9a328f9dd0f49f9c233650831fe2db6c85bb1352d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6d63ce860408fad4d16293c09f31a4ff1126707f178c4a42e12d414c85061d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-12T18:54:40Z",
    "title_canon_sha256": "b55977460640469e2e3b4b6238e4beb4f0f57fbb14f40cb7c86150f2f3aa4348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04337",
    "kind": "arxiv",
    "version": 2
  }
}