Pith Number

pith:UAW3UDCS

pith:2015:UAW3UDCSBMVNELGRLV74T3AJM7

not attested not anchored not stored refs pending

The Density of Shifted and Affine Eisenstein Polynomials

Giacomo Micheli, Reto Schnyder

arxiv:1507.02753 v1 · 2015-07-10 · 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{UAW3UDCSBMVNELGRLV74T3AJM7}

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	2026-05-17T23:54:17.116360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a02dba0c520b2ad22cd15d7fc9ec0967f9b5a46aec970a9a128bd252b1ef415d

Aliases

arxiv: 1507.02753 · arxiv_version: 1507.02753v1 · doi: 10.48550/arxiv.1507.02753 · pith_short_12: UAW3UDCSBMVN · pith_short_16: UAW3UDCSBMVNELGR · pith_short_8: UAW3UDCS

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/UAW3UDCSBMVNELGRLV74T3AJM7 \
  | 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: a02dba0c520b2ad22cd15d7fc9ec0967f9b5a46aec970a9a128bd252b1ef415d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8039c7cb830629b2d89715742ca545dc937ec55068f02b21c591168eaa51e7c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-10T00:31:42Z",
    "title_canon_sha256": "26f404d5a0a9bc94512279067de8bb00901e0d9e0dab96b5a801a9903c52cab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02753",
    "kind": "arxiv",
    "version": 1
  }
}