Pith Number

pith:MBWBJTOF

pith:2026:MBWBJTOFENVS6N4LUYREVXUIP2

not attested not anchored not stored refs pending

Depth profile of depth-weighted trees with bounded weights

Emmanuel Kammerer

arxiv:2607.05366 v1 · 2026-07-06 · 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{MBWBJTOFENVS6N4LUYREVXUIP2}

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	2026-07-07T03:19:24.940998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606c14cdc5236b2f378ba6224ade887eb8ee46d573f8308d5a494256474f6bf0

Aliases

arxiv: 2607.05366 · arxiv_version: 2607.05366v1 · doi: 10.48550/arxiv.2607.05366 · pith_short_12: MBWBJTOFENVS · pith_short_16: MBWBJTOFENVS6N4L · pith_short_8: MBWBJTOF

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/MBWBJTOFENVS6N4LUYREVXUIP2 \
  | 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: 606c14cdc5236b2f378ba6224ade887eb8ee46d573f8308d5a494256474f6bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927dd305e9d459c2314450139dc4f0e91cd3bc0bf3261014a18fe866570193b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-06T17:44:25Z",
    "title_canon_sha256": "bbc41594bf8e84e24b6d7ca94e4037c3f2227a00f5db1e57e120a3c60a3e433d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05366",
    "kind": "arxiv",
    "version": 1
  }
}