Pith Number

pith:RTUM4GVX

pith:2013:RTUM4GVXVDSMZKWU37ERNOEDA4

not attested not anchored not stored refs pending

Improved bounds for reduction to depth 4 and depth 3

S\'ebastien Tavenas

arxiv:1304.5777 v2 · 2013-04-21 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTUM4GVXVDSMZKWU37ERNOEDA4}

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	2026-05-18T02:51:48.651971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce8ce1ab7a8e4ccaad4dfc916b88307302fbbda06cbe262d241e5ff0dbff3e3

Aliases

arxiv: 1304.5777 · arxiv_version: 1304.5777v2 · doi: 10.48550/arxiv.1304.5777 · pith_short_12: RTUM4GVXVDSM · pith_short_16: RTUM4GVXVDSMZKWU · pith_short_8: RTUM4GVX

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/RTUM4GVXVDSMZKWU37ERNOEDA4 \
  | 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: 8ce8ce1ab7a8e4ccaad4dfc916b88307302fbbda06cbe262d241e5ff0dbff3e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e031cdbd96ea03634c2c0313d9cd3fea226a112971f0f8312d6826ec655e6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-04-21T18:53:23Z",
    "title_canon_sha256": "f76bacafa91fbe06f69175a81a2c25fe042f52fd1bc235580d00961f78c91569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5777",
    "kind": "arxiv",
    "version": 2
  }
}