Pith Number

pith:OTSRQ22C

pith:2021:OTSRQ22CJTKVTFH4QMMDXPQV52

not attested not anchored not stored refs pending

Explicit solution of divide-and-conquer dividing by a half recurrences with polynomial independent term

Arnau Mir, Francesc Rossell\'o, Tom\'as M. Coronado

arxiv:2111.12313 v1 · 2021-11-24 · cs.DM · math.CO · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTSRQ22CJTKVTFH4QMMDXPQV52}

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	2026-07-05T05:31:44.998718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e5186b424cd55994fc83183bbe15eeaebb7f4f1d9be7c1d53a07b62d89c102

Aliases

arxiv: 2111.12313 · arxiv_version: 2111.12313v1 · doi: 10.48550/arxiv.2111.12313 · pith_short_12: OTSRQ22CJTKV · pith_short_16: OTSRQ22CJTKVTFH4 · pith_short_8: OTSRQ22C

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/OTSRQ22CJTKVTFH4QMMDXPQV52 \
  | 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: 74e5186b424cd55994fc83183bbe15eeaebb7f4f1d9be7c1d53a07b62d89c102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f68a345eb18eb08e466ca25e5497c453512d3a7089dced3070e3f6eaa3faab79",
    "cross_cats_sorted": [
      "math.CO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2021-11-24T07:56:13Z",
    "title_canon_sha256": "917824249ebf8c504fbb06529cc3c7809b28507ac3b0801957ebcdf1f3e1ec39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12313",
    "kind": "arxiv",
    "version": 1
  }
}