Pith Number

pith:6QSYXGRY

pith:2012:6QSYXGRYYRELC2RTM22SCMXM3K

not attested not anchored not stored refs pending

Nested recursions with ceiling function solutions

Abraham Isgur, Stephen M. Tanny, Vitaly Kuznetsov

arxiv:1204.6714 v1 · 2012-04-30 · 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{6QSYXGRYYRELC2RTM22SCMXM3K}

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	2026-05-18T03:56:44.039923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4258b9a38c448b16a3366b52132ecda8bcd49f48c070a0908fa1dbd62f4a45e

Aliases

arxiv: 1204.6714 · arxiv_version: 1204.6714v1 · doi: 10.48550/arxiv.1204.6714 · pith_short_12: 6QSYXGRYYREL · pith_short_16: 6QSYXGRYYRELC2RT · pith_short_8: 6QSYXGRY

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/6QSYXGRYYRELC2RTM22SCMXM3K \
  | 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: f4258b9a38c448b16a3366b52132ecda8bcd49f48c070a0908fa1dbd62f4a45e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35474b91e9abab21fee2ddeac6216bef41ad8845b0bd8cd4bd3049576a9fc4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-30T17:48:53Z",
    "title_canon_sha256": "d42ed26688870e14b159d9ecff7b6509c078832169562024206e2c2f77a9a3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6714",
    "kind": "arxiv",
    "version": 1
  }
}