Pith Number

pith:PAZ3DRPS

pith:2018:PAZ3DRPSJ5UVKG7TYMBFLDXNUF

not attested not anchored not stored refs pending

Curvature calculations for antitrees

David Cushing, Florentin M\"unch, Norbert Peyerimhoff, Shiping Liu

arxiv:1801.09400 v1 · 2018-01-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAZ3DRPSJ5UVKG7TYMBFLDXNUF}

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	2026-05-18T00:24:57.534078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7833b1c5f24f69551bf3c302558eeda17eacb626ee26070979bd71c80f77eba4

Aliases

arxiv: 1801.09400 · arxiv_version: 1801.09400v1 · doi: 10.48550/arxiv.1801.09400 · pith_short_12: PAZ3DRPSJ5UV · pith_short_16: PAZ3DRPSJ5UVKG7T · pith_short_8: PAZ3DRPS

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/PAZ3DRPSJ5UVKG7TYMBFLDXNUF \
  | 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: 7833b1c5f24f69551bf3c302558eeda17eacb626ee26070979bd71c80f77eba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b54699eeeb6c874a1f668799df4e51a7776c954c7b0a88525ec39f1dbeafd08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-29T08:44:50Z",
    "title_canon_sha256": "06ca346b8a4a4d0a67e53cb30e46f39edaa926a5a0e406af3541f835a9845bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09400",
    "kind": "arxiv",
    "version": 1
  }
}