Pith Number

pith:U6F3KHZX

pith:2011:U6F3KHZXXDLQF5ML3RUUKHNJ5S

not attested not anchored not stored refs pending

Selmer Groups and Quadratic Reciprocity

Franz Lemmermeyer

arxiv:1108.5674 v1 · 2011-08-29 · 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{U6F3KHZXXDLQF5ML3RUUKHNJ5S}

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	2026-05-18T04:14:37.005777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a78bb51f37b8d702f58bdc69451da9eca638f1317cde0460900f4927a2d81087

Aliases

arxiv: 1108.5674 · arxiv_version: 1108.5674v1 · doi: 10.48550/arxiv.1108.5674 · pith_short_12: U6F3KHZXXDLQ · pith_short_16: U6F3KHZXXDLQF5ML · pith_short_8: U6F3KHZX

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/U6F3KHZXXDLQF5ML3RUUKHNJ5S \
  | 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: a78bb51f37b8d702f58bdc69451da9eca638f1317cde0460900f4927a2d81087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983774c9b67c91477660f6ff993ee5b43e96d47c6c04560f8d254b0a26afc851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-29T17:56:36Z",
    "title_canon_sha256": "e44e24c3e691d1a64c610a1f7b7f941e72bf349d08631b52ae8618f6f8bba9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5674",
    "kind": "arxiv",
    "version": 1
  }
}