Pith Number

pith:IUZTLWT5

pith:2014:IUZTLWT5MSU5KHNY6ASYQD72FT

not attested not anchored not stored refs pending

On the geometry behind a recurrent relation

Alexandru Zaharescu, Cristian Cobeli

arxiv:1411.1321 v1 · 2014-11-05 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUZTLWT5MSU5KHNY6ASYQD72FT}

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	2026-05-18T02:38:30.315164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

453335da7d64a9d51db8f025880ffa2cf02e6c18518d90d8ae1dbee5fc2d1715

Aliases

arxiv: 1411.1321 · arxiv_version: 1411.1321v1 · doi: 10.48550/arxiv.1411.1321 · pith_short_12: IUZTLWT5MSU5 · pith_short_16: IUZTLWT5MSU5KHNY · pith_short_8: IUZTLWT5

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/IUZTLWT5MSU5KHNY6ASYQD72FT \
  | 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: 453335da7d64a9d51db8f025880ffa2cf02e6c18518d90d8ae1dbee5fc2d1715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0cbad6de3c1454595a676b267ab850dc6f43395c2d76baf355627122c2e182e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-05T16:57:16Z",
    "title_canon_sha256": "adc29a7c5b0a46134046d4663ebfcdedee95dff809a85f4dc9c4d96bef4e68c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1321",
    "kind": "arxiv",
    "version": 1
  }
}