Pith Number

pith:F4Q6IACB

pith:2016:F4Q6IACBERYHW2IPVLKRKQIVKO

not attested not anchored not stored refs pending

On the inhomogeneous spectrum of period two quadratics

Chris Pinner

arxiv:1603.06179 v1 · 2016-03-20 · 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{F4Q6IACBERYHW2IPVLKRKQIVKO}

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	2026-05-18T01:18:50.086285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f21e4004124707b690faad515411553b631e7477668756b57a701868d1b4d89

Aliases

arxiv: 1603.06179 · arxiv_version: 1603.06179v1 · doi: 10.48550/arxiv.1603.06179 · pith_short_12: F4Q6IACBERYH · pith_short_16: F4Q6IACBERYHW2IP · pith_short_8: F4Q6IACB

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/F4Q6IACBERYHW2IPVLKRKQIVKO \
  | 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: 2f21e4004124707b690faad515411553b631e7477668756b57a701868d1b4d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "452a64da0fc3f7cacc3a867e02b1be36ad35ddb338ad0b5ba53201b50e152675",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-20T03:43:04Z",
    "title_canon_sha256": "baa936ef7106d046c36e602bf09bbe88057d087b0a951bd3b6638f6c7b9b413c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06179",
    "kind": "arxiv",
    "version": 1
  }
}