Pith Number

pith:WFVHGHSA

pith:2012:WFVHGHSANVMEUQ7FISITQNPBZE

not attested not anchored not stored refs pending

Hecke algebras associated to $\Lambda$-adic modular forms

Preston Wake

arxiv:1202.3660 v3 · 2012-02-16 · 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{WFVHGHSANVMEUQ7FISITQNPBZE}

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	2026-05-18T03:32:31.892405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16a731e406d584a43e544913835e1c93362df1a4e7f041b3ba42fa86e57093f

Aliases

arxiv: 1202.3660 · arxiv_version: 1202.3660v3 · doi: 10.48550/arxiv.1202.3660 · pith_short_12: WFVHGHSANVME · pith_short_16: WFVHGHSANVMEUQ7F · pith_short_8: WFVHGHSA

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/WFVHGHSANVMEUQ7FISITQNPBZE \
  | 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: b16a731e406d584a43e544913835e1c93362df1a4e7f041b3ba42fa86e57093f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f329dc55cda91bfaed1a3ca3ee04e56bd531256a240b44d7563c749c617a40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-16T18:22:49Z",
    "title_canon_sha256": "6835db13a47363108947eca501cdbf19107863bda3daaf9f1668016a4774f4ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3660",
    "kind": "arxiv",
    "version": 3
  }
}