Pith Number

pith:4L2TPZWA

pith:2026:4L2TPZWA2ELSI2MAA6UYSN32JM

not attested not anchored not stored refs pending

Bounds on the closed-rich constant of infinite words

Anuran Maity, Svetlana Puzynina

arxiv:2605.19535 v1 · 2026-05-19 · 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{4L2TPZWA2ELSI2MAA6UYSN32JM}

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	2026-05-20T01:05:50.629857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f537e6c0d11724698007a989377a4b25d3b2af5e7ff23fb60293e38e8ebb16

Aliases

arxiv: 2605.19535 · arxiv_version: 2605.19535v1 · doi: 10.48550/arxiv.2605.19535 · pith_short_12: 4L2TPZWA2ELS · pith_short_16: 4L2TPZWA2ELSI2MA · pith_short_8: 4L2TPZWA

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/4L2TPZWA2ELSI2MAA6UYSN32JM \
  | 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: e2f537e6c0d11724698007a989377a4b25d3b2af5e7ff23fb60293e38e8ebb16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddef1a41b7740caafcb7718d1370141fd3f5ff29a34c39501787e99673cc019d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T08:36:50Z",
    "title_canon_sha256": "4e917531974ab97d9073d5a5eea80eb90cea7245080e7cc5147a3d903517c002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19535",
    "kind": "arxiv",
    "version": 1
  }
}