Pith Number

pith:IMGJSI36

pith:2005:IMGJSI36Z7Y3OSUD2ETGVARZJ2

not attested not anchored not stored refs pending

Factorization of polynomials in one variable over the tropical semiring

Fred W. Roush, Ki Hang Kim

arxiv:math/0501167 v2 · 2005-01-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMGJSI36Z7Y3OSUD2ETGVARZJ2}

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.

Cited by

1 paper in Pith

On primality and atomicity of numerical power monoids

Receipt and verification

First computed	2026-07-04T14:39:31.175776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430c99237ecff1b74a83d1266a82394e9f0029b095dc9e1349e4db90e7a3275a

Aliases

arxiv: math/0501167 · arxiv_version: math/0501167v2 · doi: 10.48550/arxiv.math/0501167 · pith_short_12: IMGJSI36Z7Y3 · pith_short_16: IMGJSI36Z7Y3OSUD · pith_short_8: IMGJSI36

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/IMGJSI36Z7Y3OSUD2ETGVARZJ2 \
  | 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: 430c99237ecff1b74a83d1266a82394e9f0029b095dc9e1349e4db90e7a3275a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85b7ec28869f420cefed98aabffeb1e6045147e41450a44f925999afaf3e543",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-01-11T17:33:19Z",
    "title_canon_sha256": "42014fbf59f5e6a987c312a6d29b0a64814077329935fa424d2181d6e6d68155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501167",
    "kind": "arxiv",
    "version": 2
  }
}