Pith Number

pith:GDDGHD5Q

pith:2026:GDDGHD5QVH3YS4MFWX5OO566EX

not attested not anchored not stored refs pending

Cutoff for asymmetric shelf shuffle

Raghavendra Tripathi

arxiv:2606.18039 v1 · 2026-06-16 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDDGHD5QVH3YS4MFWX5OO566EX}

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	2026-06-19T16:10:46.583422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c6638fb0a9f7897185b5fae777de25ca12d4a6e49ccc166f93cbf2e829a20d

Aliases

arxiv: 2606.18039 · arxiv_version: 2606.18039v1 · doi: 10.48550/arxiv.2606.18039 · pith_short_12: GDDGHD5QVH3Y · pith_short_16: GDDGHD5QVH3YS4MF · pith_short_8: GDDGHD5Q

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/GDDGHD5QVH3YS4MFWX5OO566EX \
  | 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: 30c6638fb0a9f7897185b5fae777de25ca12d4a6e49ccc166f93cbf2e829a20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9903d0ac4a1ad0c317021c1c1f38b2b140eac857ba4d3df37fe40e741e95d73",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-16T15:15:49Z",
    "title_canon_sha256": "fa9a81d130a0f5d47c7eb0e1dc93b30c48098eb88bd9a7030a41c8afc39c6996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18039",
    "kind": "arxiv",
    "version": 1
  }
}