Pith Number

pith:VFKPMZHC

pith:2010:VFKPMZHCDHBHFAIHNLHMP7CW62

not attested not anchored not stored refs pending

Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2

Simon Marshall

arxiv:1006.3305 v2 · 2010-06-16 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFKPMZHCDHBHFAIHNLHMP7CW62}

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	2026-05-18T04:42:14.472600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a954f664e219c27281076acec7fc56f6ad207f382bd61df73c52e25468f70061

Aliases

arxiv: 1006.3305 · arxiv_version: 1006.3305v2 · doi: 10.48550/arxiv.1006.3305 · pith_short_12: VFKPMZHCDHBH · pith_short_16: VFKPMZHCDHBHFAIH · pith_short_8: VFKPMZHC

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/VFKPMZHCDHBHFAIHNLHMP7CW62 \
  | 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: a954f664e219c27281076acec7fc56f6ad207f382bd61df73c52e25468f70061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ccbf825451c3b37b6f856bb56ab4ca33aaae2d5e74503bb4b4d46fb97c2244d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-16T19:53:25Z",
    "title_canon_sha256": "5190f20244d5f5687487a4d48ac9efc60ae7dbc14b5bdbd58cd6460095084b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3305",
    "kind": "arxiv",
    "version": 2
  }
}