Pith Number

pith:S7D6KIHT

pith:2018:S7D6KIHTCB3C3WJZMEVCVUR5WJ

not attested not anchored not stored refs pending

A Scaling Limit for the Cover Time of the Binary Tree

Aser Cortines, Oren Louidor, Santiago Saglietti

arxiv:1812.10101 v2 · 2018-12-25 · 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{S7D6KIHTCB3C3WJZMEVCVUR5WJ}

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	2026-05-17T23:55:53.266701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c7e520f310762dd939612a2ad23db243bbf7ee395b8c9ef0c8285fe9d50f1d

Aliases

arxiv: 1812.10101 · arxiv_version: 1812.10101v2 · doi: 10.48550/arxiv.1812.10101 · pith_short_12: S7D6KIHTCB3C · pith_short_16: S7D6KIHTCB3C3WJZ · pith_short_8: S7D6KIHT

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/S7D6KIHTCB3C3WJZMEVCVUR5WJ \
  | 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: 97c7e520f310762dd939612a2ad23db243bbf7ee395b8c9ef0c8285fe9d50f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c6ec408821f71374715d4a91c786882379a4138f5f11fdf87768b5fecc6d8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-25T13:21:56Z",
    "title_canon_sha256": "353fdd0f36d0f48ae8a416577045423f430b48dfa7113c94f181818757814593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10101",
    "kind": "arxiv",
    "version": 2
  }
}