Pith Number

pith:D3NCJ4L5

pith:2012:D3NCJ4L5I5CSF4Y3KUEZ4VQKHL

not attested not anchored not stored refs pending

Categorical notions of layered tropical algebra and geometry

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1207.3487 v1 · 2012-07-15 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3NCJ4L5I5CSF4Y3KUEZ4VQKHL}

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	2026-05-18T03:51:00.962970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eda24f17d474522f31b55099e560a3ac240b4b0dff1894dda4a86ecf96fd2c7

Aliases

arxiv: 1207.3487 · arxiv_version: 1207.3487v1 · doi: 10.48550/arxiv.1207.3487 · pith_short_12: D3NCJ4L5I5CS · pith_short_16: D3NCJ4L5I5CSF4Y3 · pith_short_8: D3NCJ4L5

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/D3NCJ4L5I5CSF4Y3KUEZ4VQKHL \
  | 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: 1eda24f17d474522f31b55099e560a3ac240b4b0dff1894dda4a86ecf96fd2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e9c1469418d4197cd5ddbb6eeceb2b9005434ffe458a4c9b2f9b8b6fa7ab9b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-15T09:48:31Z",
    "title_canon_sha256": "e3b74c1132a0b62987c82c32df566cbd02f00b8326d0d225b27cafb9eb30c134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3487",
    "kind": "arxiv",
    "version": 1
  }
}