Pith Number

pith:QKPJKOVX

pith:2026:QKPJKOVXIVI2W47XUH7PSMIV3R

not attested not anchored not stored refs pending

Invertibility, Often

Benjamin Weiss, Ethan Akin

arxiv:2603.26376 v2 · 2026-03-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKPJKOVXIVI2W47XUH7PSMIV3R}

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	2026-06-02T03:05:05.385180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829e953ab74551ab73f7a1fef93115dc5b44695c6599a39992f066d506571070

Aliases

arxiv: 2603.26376 · arxiv_version: 2603.26376v2 · doi: 10.48550/arxiv.2603.26376 · pith_short_12: QKPJKOVXIVI2 · pith_short_16: QKPJKOVXIVI2W47X · pith_short_8: QKPJKOVX

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/QKPJKOVXIVI2W47XUH7PSMIV3R \
  | 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: 829e953ab74551ab73f7a1fef93115dc5b44695c6599a39992f066d506571070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0d81b4b15f6e543f2142d883047eb10c7c5d467e14d6841c96d5d394e6483e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-03-27T12:59:32Z",
    "title_canon_sha256": "5e39db0a8adb842012d1cc1eaf9ab835a3e4cfabb50715341651c501acda15e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.26376",
    "kind": "arxiv",
    "version": 2
  }
}