Pith Number

pith:W7USCKDM

pith:2026:W7USCKDM37HQQELYC6GSCOM7SF

not attested not anchored not stored refs pending

Bidirectional Typing with Freezing, Skeletons, and Ghosts

Aghilas Y. Boussaa, Bruno C. d. S. Oliveira, Sam Lindley, Shengyi Jiang, Wenhao Tang

arxiv:2607.16061 v1 · 2026-07-17 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7USCKDM37HQQELYC6GSCOM7SF}

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	2026-07-20T02:19:28.947189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e921286cdfcf081178178d21399f916df535ebf7f4eeddda1a57c227310699

Aliases

arxiv: 2607.16061 · arxiv_version: 2607.16061v1 · doi: 10.48550/arxiv.2607.16061 · pith_short_12: W7USCKDM37HQ · pith_short_16: W7USCKDM37HQQELY · pith_short_8: W7USCKDM

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/W7USCKDM37HQQELYC6GSCOM7SF \
  | 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: b7e921286cdfcf081178178d21399f916df535ebf7f4eeddda1a57c227310699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79bf85ff78e66f34544074c6cb8b5afa373db557a544b978c371c0f2995db4c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2026-07-17T15:39:23Z",
    "title_canon_sha256": "1b5c15aa94865efb57b8ee6c189c8c0a4abcd33e7d1b510e0bb32d3b8bbe727a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16061",
    "kind": "arxiv",
    "version": 1
  }
}