Pith Number

pith:FQFTDMGW

pith:2017:FQFTDMGWR77NO4I7GAENLU4WMA

not attested not anchored not stored refs pending

Construction of helices from Lucas and Fibonacci sequences

M\'ario M. Gra\c{c}a

arxiv:1707.09581 v1 · 2017-07-30 · 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{FQFTDMGWR77NO4I7GAENLU4WMA}

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	2026-05-18T00:39:10.881755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0b31b0d68ffed7711f3008d5d396602712167e07d593565e14efa9d6046de2

Aliases

arxiv: 1707.09581 · arxiv_version: 1707.09581v1 · doi: 10.48550/arxiv.1707.09581 · pith_short_12: FQFTDMGWR77N · pith_short_16: FQFTDMGWR77NO4I7 · pith_short_8: FQFTDMGW

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/FQFTDMGWR77NO4I7GAENLU4WMA \
  | 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: 2c0b31b0d68ffed7711f3008d5d396602712167e07d593565e14efa9d6046de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612a7e722294461b541babd8096216e6148c84fe6ab3f741c098d4f9cfd98dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-30T04:33:27Z",
    "title_canon_sha256": "bc2398b0b682c2ee7edcd4913824b968a8f3836f0d12127653f06395eb2fe893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09581",
    "kind": "arxiv",
    "version": 1
  }
}