Pith Number

pith:DZ5T3DOF

pith:2022:DZ5T3DOFHK2DC3GEKDJMPIQYEM

not attested not anchored not stored refs pending

Real solutions to systems of polynomial equations in Macaulay2

Frank Sottile, Jordy Lopez Garcia, Kelly Maluccio, Thomas Yahl

arxiv:2208.05576 v1 · 2022-08-10 · 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{DZ5T3DOFHK2DC3GEKDJMPIQYEM}

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	2026-07-05T08:26:55.265983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7b3d8dc53ab4316cc450d2c7a2182333906cf91f59426ad1cb7c422b129efe

Aliases

arxiv: 2208.05576 · arxiv_version: 2208.05576v1 · doi: 10.48550/arxiv.2208.05576 · pith_short_12: DZ5T3DOFHK2D · pith_short_16: DZ5T3DOFHK2DC3GE · pith_short_8: DZ5T3DOF

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/DZ5T3DOFHK2DC3GEKDJMPIQYEM \
  | 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: 1e7b3d8dc53ab4316cc450d2c7a2182333906cf91f59426ad1cb7c422b129efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884f23c8e1cea01a0c032d9d6deec76bd6065f1f87cba262ffde52d82ac650e3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-08-10T21:56:31Z",
    "title_canon_sha256": "222fe060faa7555c29de83240458db3b9a51af22d8bf3d3f76b6537358395393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05576",
    "kind": "arxiv",
    "version": 1
  }
}