Pith Number

pith:VFVAOJ7V

pith:2014:VFVAOJ7VRQLVHKV3X5UQ3BNJEC

not attested not anchored not stored refs pending

Eisenstein Hecke algebras and conjectures in Iwasawa theory

Preston Wake

arxiv:1401.3764 v2 · 2014-01-15 · 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{VFVAOJ7VRQLVHKV3X5UQ3BNJEC}

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	2026-05-18T01:22:24.464410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96a0727f58c1753aabbbf690d85a920a51e350848289da72559ef23f2d28279

Aliases

arxiv: 1401.3764 · arxiv_version: 1401.3764v2 · doi: 10.48550/arxiv.1401.3764 · pith_short_12: VFVAOJ7VRQLV · pith_short_16: VFVAOJ7VRQLVHKV3 · pith_short_8: VFVAOJ7V

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/VFVAOJ7VRQLVHKV3X5UQ3BNJEC \
  | 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: a96a0727f58c1753aabbbf690d85a920a51e350848289da72559ef23f2d28279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25fc3eac1f21ddd4f8bea516367d8c292de029f28730622f78b8be8c6ffaf42b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-15T21:24:29Z",
    "title_canon_sha256": "f63193679fefa02a3d3671576ca06b491a4f86a2eba4371788bd772d9ce34bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3764",
    "kind": "arxiv",
    "version": 2
  }
}