Pith Number

pith:POPLQ5UJ

pith:2011:POPLQ5UJWJX4BJA2ADFRPRJRVV

not attested not anchored not stored refs pending

A local global question in automorphic forms

Dipendra Prasad, U. K. Anandavardhanan

arxiv:1104.5380 v2 · 2011-04-28 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POPLQ5UJWJX4BJA2ADFRPRJRVV}

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	2026-05-17T23:53:36.625289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9eb87689b26fc0a41a00cb17c531ad68c9792d1089ed7b240a6c43f4aeae92

Aliases

arxiv: 1104.5380 · arxiv_version: 1104.5380v2 · doi: 10.48550/arxiv.1104.5380 · pith_short_12: POPLQ5UJWJX4 · pith_short_16: POPLQ5UJWJX4BJA2 · pith_short_8: POPLQ5UJ

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/POPLQ5UJWJX4BJA2ADFRPRJRVV \
  | 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: 7b9eb87689b26fc0a41a00cb17c531ad68c9792d1089ed7b240a6c43f4aeae92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d536ce6e568d4d05c13e66c1ccf77c61354284840527b7eac44e0a19d627766c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-28T13:10:06Z",
    "title_canon_sha256": "3ce618e8fb2720974f189725c723fc3fba799b26129e8bdaf8e389d43c2349a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5380",
    "kind": "arxiv",
    "version": 2
  }
}