Pith Number

pith:7GZM7DRB

pith:2015:7GZM7DRBDIUGWB4HOH2CFYDJHM

not attested not anchored not stored refs pending

Rankin--Eisenstein classes in Coleman families

David Loeffler, Sarah Livia Zerbes

arxiv:1506.06703 v2 · 2015-06-22 · 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{7GZM7DRBDIUGWB4HOH2CFYDJHM}

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	2026-05-18T00:23:21.689543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b2cf8e211a286b078771f422e0693b3521a179449f1ed9ba679a0a6a624688

Aliases

arxiv: 1506.06703 · arxiv_version: 1506.06703v2 · doi: 10.48550/arxiv.1506.06703 · pith_short_12: 7GZM7DRBDIUG · pith_short_16: 7GZM7DRBDIUGWB4H · pith_short_8: 7GZM7DRB

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/7GZM7DRBDIUGWB4HOH2CFYDJHM \
  | 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: f9b2cf8e211a286b078771f422e0693b3521a179449f1ed9ba679a0a6a624688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa48bfe358379fc33393e957ab081c1d4803c5932409153313b6dc04d1632b94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-22T17:54:15Z",
    "title_canon_sha256": "4efe56d530aaaa8415d67dccafd5030914956c13bcb7694aeea2336a11e1e467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06703",
    "kind": "arxiv",
    "version": 2
  }
}