pith. sign in
Pith Number

pith:N447XFUB

pith:2011:N447XFUBGJ3IDBYB5KY63CYCUQ
not attested not anchored not stored refs pending

List Distinguishing Parameters of Trees

Derrick Stolee, Ellen Gethner, Michael Ferrara, Paul S. Wenger, Stephen G. Hartke

arxiv:1111.4989 v1 · 2011-11-21 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N447XFUBGJ3IDBYB5KY63CYCUQ}

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 2026-05-18T04:07:54.577082Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6f39fb96813276818701eab1ed8b02a411ce8c87a271e971319b3bdc2b9a0a93

Aliases

arxiv: 1111.4989 · arxiv_version: 1111.4989v1 · doi: 10.48550/arxiv.1111.4989 · pith_short_12: N447XFUBGJ3I · pith_short_16: N447XFUBGJ3IDBYB · pith_short_8: N447XFUB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N447XFUBGJ3IDBYB5KY63CYCUQ \
  | 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: 6f39fb96813276818701eab1ed8b02a411ce8c87a271e971319b3bdc2b9a0a93
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4f600d934450b1dc386da7328f8d41da1bf7f69f2b3a27a8d56df27b8da65d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-21T19:58:24Z",
    "title_canon_sha256": "78a947105afb0bd6b2f1676a25361ee401d7b46b256cfb5d59a593b870ef67c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4989",
    "kind": "arxiv",
    "version": 1
  }
}