Pith Number

pith:QKFCNYPQ

pith:2013:QKFCNYPQS6GKR45L66YTOKT5RT

not attested not anchored not stored refs pending

Algebraic structures of tropical mathematics

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1305.3906 v1 · 2013-05-16 · math.RA · 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{QKFCNYPQS6GKR45L66YTOKT5RT}

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	2026-05-18T03:25:33.706642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828a26e1f0978ca8f3abf7b1372a7d8cd198ca45592d4f3cd897220960c70a56

Aliases

arxiv: 1305.3906 · arxiv_version: 1305.3906v1 · doi: 10.48550/arxiv.1305.3906 · pith_short_12: QKFCNYPQS6GK · pith_short_16: QKFCNYPQS6GKR45L · pith_short_8: QKFCNYPQ

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/QKFCNYPQS6GKR45L66YTOKT5RT \
  | 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: 828a26e1f0978ca8f3abf7b1372a7d8cd198ca45592d4f3cd897220960c70a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74512aa6a0792e4ed0c00786412e3624ade3807447db8a92bf4c60ba22eb9fc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-16T19:57:03Z",
    "title_canon_sha256": "887ef1a0868ba916d4188a61ca5ab415c8322ab3399e432c409f1a82a3c3dc37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3906",
    "kind": "arxiv",
    "version": 1
  }
}