Pith Number

pith:VUGOJDQR

pith:2025:VUGOJDQR36QUFH5V6TLTEUPSOH

not attested not anchored not stored refs pending

Extremal elasticity of quadratic orders

Paul Pollack, Steve Fan

arxiv:2503.07801 v1 · 2025-03-10 · 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{VUGOJDQR36QUFH5V6TLTEUPSOH}

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.

Cited by

1 paper in Pith

Boundary CM points and class groups of small exponent

Receipt and verification

First computed	2026-07-05T10:28:44.105668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad0ce48e11dfa1429fb5f4d73251f271fe5725a513373eb62c092226d07060d3

Aliases

arxiv: 2503.07801 · arxiv_version: 2503.07801v1 · doi: 10.48550/arxiv.2503.07801 · pith_short_12: VUGOJDQR36QU · pith_short_16: VUGOJDQR36QUFH5V · pith_short_8: VUGOJDQR

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/VUGOJDQR36QUFH5V6TLTEUPSOH \
  | 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: ad0ce48e11dfa1429fb5f4d73251f271fe5725a513373eb62c092226d07060d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22563c7393a0d212ddb5613b6fef8782abcb97526a0bbf607862ed653164e990",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-10T19:30:25Z",
    "title_canon_sha256": "195b3d1fd18c4218dd810c2fc538cc00904d782bc00b5722b7447bffa49aca5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07801",
    "kind": "arxiv",
    "version": 1
  }
}