Pith Number

pith:WNIAKUG6

pith:2021:WNIAKUG6EGD7RVUTEV42QLAQT2

not attested not anchored not stored refs pending

Staged tree models with toric structure

Aida Maraj, Christiane G\"orgen, Lisa Nicklasson

arxiv:2107.04516 v2 · 2021-07-09 · math.AC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNIAKUG6EGD7RVUTEV42QLAQT2}

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	2026-07-05T04:36:32.534838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3500550de2187f8d6932579a82c109e9e1ce3a67e814d672ae29401f792e601

Aliases

arxiv: 2107.04516 · arxiv_version: 2107.04516v2 · doi: 10.48550/arxiv.2107.04516 · pith_short_12: WNIAKUG6EGD7 · pith_short_16: WNIAKUG6EGD7RVUT · pith_short_8: WNIAKUG6

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/WNIAKUG6EGD7RVUTEV42QLAQT2 \
  | 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: b3500550de2187f8d6932579a82c109e9e1ce3a67e814d672ae29401f792e601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a16c44c35a87c3b56d3a7e7e94b787a4901f55acaa9c9f8e1cdbcf48e0a953b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-07-09T16:03:33Z",
    "title_canon_sha256": "02a34f12d3f9b9a2b80d537e786bada3131414d4cd458f249893a4bdeccfb6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04516",
    "kind": "arxiv",
    "version": 2
  }
}