Pith Number

pith:4PH3VZKM

pith:2026:4PH3VZKMP6QGAWUDUBSNIWEPPN

not attested not anchored not stored refs pending

Resource bounded Ku\v{c}era-G\'{a}cs Theorems

Akhil S, Chandra Shekhar Tiwari, Satyadev Nandakumar

arxiv:2605.21546 v1 · 2026-05-20 · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PH3VZKMP6QGAWUDUBSNIWEPPN}

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	2026-05-22T00:02:28.136946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3cfbae54c7fa0605a83a064d4588f7b66534d69b5ce174932ef53d80d9e6342

Aliases

arxiv: 2605.21546 · arxiv_version: 2605.21546v1 · doi: 10.48550/arxiv.2605.21546 · pith_short_12: 4PH3VZKMP6QG · pith_short_16: 4PH3VZKMP6QGAWUD · pith_short_8: 4PH3VZKM

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/4PH3VZKMP6QGAWUDUBSNIWEPPN \
  | 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: e3cfbae54c7fa0605a83a064d4588f7b66534d69b5ce174932ef53d80d9e6342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e07ef0fdd128e07a1464557d923fbb78705f8d80ade2d19ee9c6f49fe39dd0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-05-20T10:13:55Z",
    "title_canon_sha256": "91d4e74f4e2946115d9939fcfa55899d3371d4e3c16b943c1ee2bbd36af48bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21546",
    "kind": "arxiv",
    "version": 1
  }
}