pith. sign in
Pith Number

pith:FUT3GG7X

pith:2011:FUT3GG7XYAKHTRKBJZY6MRTSEP
not attested not anchored not stored refs pending

Dominance and Transmissions in Supertropical Valuation Theory

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1102.1520 v1 · 2011-02-08 · math.AC · math.AG · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FUT3GG7XYAKHTRKBJZY6MRTSEP}

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 2026-05-18T04:29:53.047279Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d27b31bf7c01479c5414e71e6467223c0a6f71af7f2cd1fded0aaa3fb94b5a3

Aliases

arxiv: 1102.1520 · arxiv_version: 1102.1520v1 · doi: 10.48550/arxiv.1102.1520 · pith_short_12: FUT3GG7XYAKH · pith_short_16: FUT3GG7XYAKHTRKB · pith_short_8: FUT3GG7X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FUT3GG7XYAKHTRKBJZY6MRTSEP \
  | 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: 2d27b31bf7c01479c5414e71e6467223c0a6f71af7f2cd1fded0aaa3fb94b5a3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4eb88c940b58868847eaf5a8a589653fa58379a60637022a98ecd10443a6a8bf",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-08T07:13:08Z",
    "title_canon_sha256": "4cb5f68d6d4dd8fe4c873fe0aa871031d4b5cac200aba63505e17ad68e9e4e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1520",
    "kind": "arxiv",
    "version": 1
  }
}