Pith Number

pith:3P7KV76B

pith:2026:3P7KV76BK4Z5REIWMM7CVZ7TBT

not attested not anchored not stored refs pending

Roots of polynomials over semirings and hyperfields

Louis Halle Rowen

arxiv:2606.13330 v1 · 2026-06-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3P7KV76BK4Z5REIWMM7CVZ7TBT}

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	2026-06-12T01:09:52.746583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbfeaaffc15733d89116633e2ae7f30cf8ccdc2aadc357e6495288c6bbb6138e

Aliases

arxiv: 2606.13330 · arxiv_version: 2606.13330v1 · doi: 10.48550/arxiv.2606.13330 · pith_short_12: 3P7KV76BK4Z5 · pith_short_16: 3P7KV76BK4Z5REIW · pith_short_8: 3P7KV76B

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/3P7KV76BK4Z5REIWMM7CVZ7TBT \
  | 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: dbfeaaffc15733d89116633e2ae7f30cf8ccdc2aadc357e6495288c6bbb6138e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf289570eaa0536c93d18c43942735a7b6d31c2943a140cb877a6530f2d14d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-11T13:22:58Z",
    "title_canon_sha256": "da0c99da0418a03ee8c6a6cf790d49bb776c54018b69236c614b80905d2b48a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13330",
    "kind": "arxiv",
    "version": 1
  }
}