Pith Number

pith:DS7VVTMH

pith:2015:DS7VVTMHWI2IQIRXK3UZZNHXQJ

not attested not anchored not stored refs pending

On the Product Representation of Number Sequences, with Application to the Fibonacci Family

Michelle Rudolph-Lilith

arxiv:1508.07894 v1 · 2015-08-25 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DS7VVTMHWI2IQIRXK3UZZNHXQJ}

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	2026-05-18T01:34:31.233501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbf5acd87b23488223756e99cb4f7827ae5817e0d39acb32361e9b412edd82f

Aliases

arxiv: 1508.07894 · arxiv_version: 1508.07894v1 · doi: 10.48550/arxiv.1508.07894 · pith_short_12: DS7VVTMHWI2I · pith_short_16: DS7VVTMHWI2IQIRX · pith_short_8: DS7VVTMH

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/DS7VVTMHWI2IQIRXK3UZZNHXQJ \
  | 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: 1cbf5acd87b23488223756e99cb4f7827ae5817e0d39acb32361e9b412edd82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2b56f30c01831d1215f2667e4f666945003c99c33893943698f6f4a8608984",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-25T08:22:34Z",
    "title_canon_sha256": "3f59e6d47f959da3510b33535af7e25b2a6e7a138521fddea89363d2d1e8e194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07894",
    "kind": "arxiv",
    "version": 1
  }
}