Pith Number

pith:XWD54HYF

pith:2026:XWD54HYFFXEPHJJYARZRWEJYSP

not attested not anchored not stored refs pending

The Universal Warmup Path: Many Routes, One Compass

Junpeng Lao

arxiv:2607.23788 v1 · 2026-07-26 · stat.CO · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWD54HYFFXEPHJJYARZRWEJYSP}

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	2026-07-28T01:23:11.241323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd87de1f052dc8f3a53804731b113893f416591d496703690a594e617c5ecf23

Aliases

arxiv: 2607.23788 · arxiv_version: 2607.23788v1 · doi: 10.48550/arxiv.2607.23788 · pith_short_12: XWD54HYFFXEP · pith_short_16: XWD54HYFFXEPHJJY · pith_short_8: XWD54HYF

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/XWD54HYFFXEPHJJYARZRWEJYSP \
  | 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: bd87de1f052dc8f3a53804731b113893f416591d496703690a594e617c5ecf23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd27240e80fcf84a8d837410aca6a8e77edc157536fb02dd2c796e6a2263034",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2026-07-26T18:06:23Z",
    "title_canon_sha256": "06ff9f280a96fcd7d2e1191e54fd939df6923d1ae324182ae00d899788988b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23788",
    "kind": "arxiv",
    "version": 1
  }
}