pith. sign in
Pith Number

pith:QUXMWNO2

pith:2010:QUXMWNO2WDRLLBABJXOUI4CAHA
not attested not anchored not stored refs pending

Representation of Unity by Binary Forms

Shabnam Akhtari

arxiv:1011.4507 v1 · 2010-11-19 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QUXMWNO2WDRLLBABJXOUI4CAHA}

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 2026-05-18T04:35:06.147427Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

852ecb35dab0e2b584014ddd447040380657ddb83fa6e56eb43e3c9f7b365abc

Aliases

arxiv: 1011.4507 · arxiv_version: 1011.4507v1 · doi: 10.48550/arxiv.1011.4507 · pith_short_12: QUXMWNO2WDRL · pith_short_16: QUXMWNO2WDRLLBAB · pith_short_8: QUXMWNO2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QUXMWNO2WDRLLBABJXOUI4CAHA \
  | 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: 852ecb35dab0e2b584014ddd447040380657ddb83fa6e56eb43e3c9f7b365abc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b9985bb9edd2ac6cb63abf59f01f21d0724584b9dccb58590de78f25f8710a1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-19T20:15:37Z",
    "title_canon_sha256": "701ff005f9582a5761200a0ded8d0a1ea54a1fb31beb0f02967034b9341a598e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4507",
    "kind": "arxiv",
    "version": 1
  }
}