Pith Number

pith:Y65SU4VL

pith:2012:Y65SU4VLV7MFWZABYBUJXQIP5C

not attested not anchored not stored refs pending

On common eigenvectors for semigroups of matrices in tropical and traditional mathematics

Grigory Litvinov, Grigory Shpiz, Sergei Sergeev

arxiv:1211.2316 v4 · 2012-11-10 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y65SU4VLV7MFWZABYBUJXQIP5C}

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	2026-05-17T23:50:39.117568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7bb2a72abafd85b6401c0689bc10fe8b1cae7812b18f8bdcb24f0cfe46f7f10

Aliases

arxiv: 1211.2316 · arxiv_version: 1211.2316v4 · doi: 10.48550/arxiv.1211.2316 · pith_short_12: Y65SU4VLV7MF · pith_short_16: Y65SU4VLV7MFWZAB · pith_short_8: Y65SU4VL

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/Y65SU4VLV7MFWZABYBUJXQIP5C \
  | 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: c7bb2a72abafd85b6401c0689bc10fe8b1cae7812b18f8bdcb24f0cfe46f7f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b39f67012d0cc75258e7dc883e7553aab322a510825b528112cfe55664ce0e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-10T10:42:54Z",
    "title_canon_sha256": "c9dbe2a16ade8eff06b176948140bcda0905524d6f024cf275be7a21978fdc21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2316",
    "kind": "arxiv",
    "version": 4
  }
}