Pith Number

pith:FMMUCGSA

pith:2012:FMMUCGSAWVVYSBUBPZLRITJYFP

not attested not anchored not stored refs pending

A combinatorial approach for solving certain nested recursions with non-slow solutions

Abraham Isgur, Stephen Tanny, Vitaly Kuznetsov

arxiv:1202.0276 v1 · 2012-02-01 · 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{FMMUCGSAWVVYSBUBPZLRITJYFP}

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	2026-05-18T04:03:18.829614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b19411a40b56b8906817e57144d382bdb91ca6e32da0721ea5190da6d3a39c8

Aliases

arxiv: 1202.0276 · arxiv_version: 1202.0276v1 · doi: 10.48550/arxiv.1202.0276 · pith_short_12: FMMUCGSAWVVY · pith_short_16: FMMUCGSAWVVYSBUB · pith_short_8: FMMUCGSA

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/FMMUCGSAWVVYSBUBPZLRITJYFP \
  | 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: 2b19411a40b56b8906817e57144d382bdb91ca6e32da0721ea5190da6d3a39c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279ffc776732c9a7bec199d7f1660f2f391d0d527fa89adb147e05bead9b97e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-01T05:19:55Z",
    "title_canon_sha256": "3ca47bdf0f980ef2a1bc2bba53d5380e6b3c434e772e1b7a492a3172d7182b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0276",
    "kind": "arxiv",
    "version": 1
  }
}