Pith Number

pith:S7R3OXLO

pith:2020:S7R3OXLO2IGFDN3CWIG6JJYW7G

not attested not anchored not stored refs pending

On Some Solutions to Hofstadter's $V$-Recurrence

Altug Alkan, Nathan Fox, Orhan Ozgur Aybar, Zehra Akdeniz

arxiv:2002.03396 v1 · 2020-02-09 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7R3OXLO2IGFDN3CWIG6JJYW7G}

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	2026-07-05T00:39:21.818692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e3b75d6ed20c51b762b20de4a716f98ff7533348ad5c260414469f538d5219

Aliases

arxiv: 2002.03396 · arxiv_version: 2002.03396v1 · doi: 10.48550/arxiv.2002.03396 · pith_short_12: S7R3OXLO2IGF · pith_short_16: S7R3OXLO2IGFDN3C · pith_short_8: S7R3OXLO

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/S7R3OXLO2IGFDN3CWIG6JJYW7G \
  | 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: 97e3b75d6ed20c51b762b20de4a716f98ff7533348ad5c260414469f538d5219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc4734c71c7ac101cc784ee121419d7a1ec3f1d552b9074cc4d2bd4d3d8cfd40",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-02-09T16:45:56Z",
    "title_canon_sha256": "cc6ef9ee3e4413fb4039bbc44b89bfec7bcf42c92adc617f73ade25f98771cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03396",
    "kind": "arxiv",
    "version": 1
  }
}