Pith Number

pith:QKAUJLGN

pith:2015:QKAUJLGNZ57JD5RBXCXNCEJYQA

not attested not anchored not stored refs pending

A Note on Weighted Rooted Trees

Alexander York, Talon Ward, Zi-Xia Song

arxiv:1504.04392 v3 · 2015-04-16 · 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{QKAUJLGNZ57JD5RBXCXNCEJYQA}

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	2026-05-18T01:37:13.334639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828144accdcf7e91f621b8aed11138802f2a93fe3107a3d3d1968eb88708cb3d

Aliases

arxiv: 1504.04392 · arxiv_version: 1504.04392v3 · doi: 10.48550/arxiv.1504.04392 · pith_short_12: QKAUJLGNZ57J · pith_short_16: QKAUJLGNZ57JD5RB · pith_short_8: QKAUJLGN

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/QKAUJLGNZ57JD5RBXCXNCEJYQA \
  | 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: 828144accdcf7e91f621b8aed11138802f2a93fe3107a3d3d1968eb88708cb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e49162515f24c272226396541aaa3bc435722bd86a26f80905e31aaef4ae5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-16T21:37:36Z",
    "title_canon_sha256": "3fa7ab34a340d826eec75f7a32c51b36eac1717d8fc4af217fd603530572ac85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04392",
    "kind": "arxiv",
    "version": 3
  }
}