Pith Number

pith:V2HZT47X

pith:2013:V2HZT47X4KRWWKLXDGESJFNUUZ

not attested not anchored not stored refs pending

A method for deterining the mod-$3^k$ behaviour of recursive sequences

Christian Krattenthaler (Universit\"at Wien), Thomas W. M\"uller (Queen Mary)

arxiv:1308.2856 v1 · 2013-08-13 · 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{V2HZT47X4KRWWKLXDGESJFNUUZ}

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	2026-05-18T03:15:58.334487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8f99f3f7e2a36b297719892495b4a658a600fa93a2db4c441408df485d97b7

Aliases

arxiv: 1308.2856 · arxiv_version: 1308.2856v1 · doi: 10.48550/arxiv.1308.2856 · pith_short_12: V2HZT47X4KRW · pith_short_16: V2HZT47X4KRWWKLX · pith_short_8: V2HZT47X

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/V2HZT47X4KRWWKLXDGESJFNUUZ \
  | 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: ae8f99f3f7e2a36b297719892495b4a658a600fa93a2db4c441408df485d97b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cbbb5c9c09cf677d0703b8455ac8a79ed3bf372a02783188cba66f336b44080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-13T13:19:19Z",
    "title_canon_sha256": "c0c4f38c4a72b7fdb662af06f129e3c5623535dc0437e0b6bcfcfc274c0675b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2856",
    "kind": "arxiv",
    "version": 1
  }
}