Pith Number

pith:IIUPEWBK

pith:2011:IIUPEWBKJB7CJKTXIECILND6I2

not attested not anchored not stored refs pending

Combinatorial Types of Tropical Eigenvectors

Bernd Sturmfels, Ngoc Mai Tran

arxiv:1105.5504 v3 · 2011-05-27 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIUPEWBKJB7CJKTXIECILND6I2}

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	2026-05-18T02:58:00.864516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4228f2582a487e24aa77410485b47e46ad38ff02b77db723a89dfcc3376ef31e

Aliases

arxiv: 1105.5504 · arxiv_version: 1105.5504v3 · doi: 10.48550/arxiv.1105.5504 · pith_short_12: IIUPEWBKJB7C · pith_short_16: IIUPEWBKJB7CJKTX · pith_short_8: IIUPEWBK

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/IIUPEWBKJB7CJKTXIECILND6I2 \
  | 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: 4228f2582a487e24aa77410485b47e46ad38ff02b77db723a89dfcc3376ef31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a52ac0a44ac5b89d866beb1e824b21a98266d85d172db78a0e66d31605b85b5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-27T09:26:34Z",
    "title_canon_sha256": "330ba0a9eca49a3cc7db1c1155d4a196f84cf123599b7f49416a28038d493136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5504",
    "kind": "arxiv",
    "version": 3
  }
}