Pith Number

pith:5ITSOGJQ

pith:2011:5ITSOGJQJCGJDZJDYCE4J3TFMO

not attested not anchored not stored refs pending

Quartic, octic residues and binary quadratic forms

Zhi-Hong Sun

arxiv:1108.3027 v4 · 2011-08-15 · 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{5ITSOGJQJCGJDZJDYCE4J3TFMO}

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	2026-05-18T03:45:10.816118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea27271930488c91e523c089c4ee6563b90051df817d9751f478ff7e4510231a

Aliases

arxiv: 1108.3027 · arxiv_version: 1108.3027v4 · doi: 10.48550/arxiv.1108.3027 · pith_short_12: 5ITSOGJQJCGJ · pith_short_16: 5ITSOGJQJCGJDZJD · pith_short_8: 5ITSOGJQ

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/5ITSOGJQJCGJDZJDYCE4J3TFMO \
  | 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: ea27271930488c91e523c089c4ee6563b90051df817d9751f478ff7e4510231a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4ff74af1915b49db4df98963b26294a49204d76f4babc81917d3b10efbfea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-15T16:14:02Z",
    "title_canon_sha256": "fba4420431d266264e3c9ce3315997884a3776f65e5d7e38b6973f17c78d761d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3027",
    "kind": "arxiv",
    "version": 4
  }
}