Pith Number

pith:6OPWC3GV

pith:2013:6OPWC3GV43BNOKUOFW2CJF3CX3

not attested not anchored not stored refs pending

On the local profiles of trees

Nati Linial, S\'ebastien Bubeck

arxiv:1310.5396 v2 · 2013-10-21 · 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{6OPWC3GV43BNOKUOFW2CJF3CX3}

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	2026-05-18T02:33:07.790619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39f616cd5e6c2d72a8e2db4249762bec5e01f44ca7a3536d701d54fef3b95a0

Aliases

arxiv: 1310.5396 · arxiv_version: 1310.5396v2 · doi: 10.48550/arxiv.1310.5396 · pith_short_12: 6OPWC3GV43BN · pith_short_16: 6OPWC3GV43BNOKUO · pith_short_8: 6OPWC3GV

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/6OPWC3GV43BNOKUOFW2CJF3CX3 \
  | 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: f39f616cd5e6c2d72a8e2db4249762bec5e01f44ca7a3536d701d54fef3b95a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc31f7ef447bbb8137936b87b5aaa3b2e360d4d3502c98bfe6c6a45b816c9cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-21T01:51:53Z",
    "title_canon_sha256": "0c4737ca080f371f9a786350897a737a69a1938784bdf94f3d415d4fad29167e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5396",
    "kind": "arxiv",
    "version": 2
  }
}