Pith Number

pith:TYQ5PPWN

pith:2011:TYQ5PPWNGIXNQM2HBJOCQV7UFG

not attested not anchored not stored refs pending

Higher residue symbols

Prem Prakash Pandey, R. Balasubramanian

arxiv:1103.0110 v3 · 2011-03-01 · 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{TYQ5PPWNGIXNQM2HBJOCQV7UFG}

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	2026-05-18T04:23:02.283131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e21d7becd322ed833470a5c2857f429b0a512c37376a991182d38e12480cc75

Aliases

arxiv: 1103.0110 · arxiv_version: 1103.0110v3 · doi: 10.48550/arxiv.1103.0110 · pith_short_12: TYQ5PPWNGIXN · pith_short_16: TYQ5PPWNGIXNQM2H · pith_short_8: TYQ5PPWN

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/TYQ5PPWNGIXNQM2HBJOCQV7UFG \
  | 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: 9e21d7becd322ed833470a5c2857f429b0a512c37376a991182d38e12480cc75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854aacde5dee89178d2a1031b81bcf567132573992ef95a290759e5b4547e49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-01T09:16:42Z",
    "title_canon_sha256": "d28394dbfc9cc132e8e2ae1217e80f79923b5b5390ac4fe791c2bf52c1e3b4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0110",
    "kind": "arxiv",
    "version": 3
  }
}