Pith Number

pith:Q4TMKDCF

pith:2015:Q4TMKDCFGIMOILOC4HWJXJOZ2T

not attested not anchored not stored refs pending

Recovering a tree from the lengths of subtrees spanned by a randomly chosen sequence of leaves

Daniel Lanoue, Steven N. Evans

arxiv:1506.01091 v1 · 2015-06-03 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4TMKDCFGIMOILOC4HWJXJOZ2T}

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	2026-05-18T01:58:26.422641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8726c50c453218e42dc2e1ec9ba5d9d4cb87b9d33490e19aab5084b9027343a3

Aliases

arxiv: 1506.01091 · arxiv_version: 1506.01091v1 · doi: 10.48550/arxiv.1506.01091 · pith_short_12: Q4TMKDCFGIMO · pith_short_16: Q4TMKDCFGIMOILOC · pith_short_8: Q4TMKDCF

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/Q4TMKDCFGIMOILOC4HWJXJOZ2T \
  | 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: 8726c50c453218e42dc2e1ec9ba5d9d4cb87b9d33490e19aab5084b9027343a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56af882f0f104d903301df980c4de5d59bcd6a82733f1d57dbcc5722f02a211f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-03T00:29:38Z",
    "title_canon_sha256": "013d41f7d0e6322fc537df827fe6218062277283e0530b425738e6f4c75f12b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01091",
    "kind": "arxiv",
    "version": 1
  }
}