Pith Number

pith:GKYSPVEF

pith:2011:GKYSPVEF2IRBO4FEDO5KNMCCZ3

not attested not anchored not stored refs pending

Inhomogeneous quadratic congruences

S. Baier, T.D. Browning

arxiv:1105.1915 v1 · 2011-05-10 · 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{GKYSPVEF2IRBO4FEDO5KNMCCZ3}

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	2026-05-18T04:22:30.304351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b127d485d2221770a41bbaa6b042ceca80763a959ac07b33468c8c67134941

Aliases

arxiv: 1105.1915 · arxiv_version: 1105.1915v1 · doi: 10.48550/arxiv.1105.1915 · pith_short_12: GKYSPVEF2IRB · pith_short_16: GKYSPVEF2IRBO4FE · pith_short_8: GKYSPVEF

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/GKYSPVEF2IRBO4FEDO5KNMCCZ3 \
  | 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: 32b127d485d2221770a41bbaa6b042ceca80763a959ac07b33468c8c67134941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7121b3069e426af6016e6dc717ec0bc6171d4242eb2e19309ea93c83b43488c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-10T11:20:48Z",
    "title_canon_sha256": "05cac1fa236ed5c0f5e95af97b60d892625f0a529ee5dc20334f5dc472cb7cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1915",
    "kind": "arxiv",
    "version": 1
  }
}