Pith Number

pith:GZEDC3OL

pith:2016:GZEDC3OLFZGVLUJI6TQAV2MEEL

not attested not anchored not stored refs pending

Polytopes of Stochastic Tensors

Fuzhen Zhang, Haixia Chang, Vehbi E. Paksoy

arxiv:1608.03203 v1 · 2016-08-10 · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZEDC3OLFZGVLUJI6TQAV2MEEL}

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	2026-05-18T01:04:42.941452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3648316dcb2e4d55d128f4e00ae98422e7b01a7fc1d85c71887bde7361e6ecb8

Aliases

arxiv: 1608.03203 · arxiv_version: 1608.03203v1 · doi: 10.48550/arxiv.1608.03203 · pith_short_12: GZEDC3OLFZGV · pith_short_16: GZEDC3OLFZGVLUJI · pith_short_8: GZEDC3OL

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/GZEDC3OLFZGVLUJI6TQAV2MEEL \
  | 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: 3648316dcb2e4d55d128f4e00ae98422e7b01a7fc1d85c71887bde7361e6ecb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232def1eb55837fbacc70e9017f5f72b4ed5f354e7dc5db445056334a98680e5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-10T15:10:42Z",
    "title_canon_sha256": "980359a91aaa2a9b57aaf64da8469dd393a673e6c88b7ed9601e3e6384c1679f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03203",
    "kind": "arxiv",
    "version": 1
  }
}