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Pith Number

pith:753347FX

pith:2016:753347FX2O766AYZ7XAPFSN4YK
not attested not anchored not stored refs pending

On paths, stars and wyes in trees

Cathryn Supko, Horia Mania, Katherine Edwards, S\'ebastien Bubeck

arxiv:1601.01950 v1 · 2016-01-08 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{753347FX2O766AYZ7XAPFSN4YK}

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 2026-05-18T01:23:10.992257Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ff77be7cb7d3bfef0319fdc0f2c9bcc29cc0df847a853c7ad8d11a4b62946452

Aliases

arxiv: 1601.01950 · arxiv_version: 1601.01950v1 · doi: 10.48550/arxiv.1601.01950 · pith_short_12: 753347FX2O76 · pith_short_16: 753347FX2O766AYZ · pith_short_8: 753347FX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/753347FX2O766AYZ7XAPFSN4YK \
  | 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: ff77be7cb7d3bfef0319fdc0f2c9bcc29cc0df847a853c7ad8d11a4b62946452
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bc18c60418ae246dacaf0b079d50b2e87b5e95946ac52417bb501dc679d3b377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-08T17:17:12Z",
    "title_canon_sha256": "8f6455aea293e1639c1dade7002014c2164aa07bdad75a12b57899ddff01a338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01950",
    "kind": "arxiv",
    "version": 1
  }
}