Pith Number

pith:HL47OFTE

pith:2012:HL47OFTET2OGXVROYH5DRW5B7G

not attested not anchored not stored refs pending

Conservation relations for local theta correspondence

Binyong Sun, Chen-bo Zhu

arxiv:1204.2969 v3 · 2012-04-13 · 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{HL47OFTET2OGXVROYH5DRW5B7G}

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	2026-05-18T02:50:43.388121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af9f716649e9c6bd62ec1fa38dba1f9a667bd7d981ea9ea2b6a390ad1dc5b8f

Aliases

arxiv: 1204.2969 · arxiv_version: 1204.2969v3 · doi: 10.48550/arxiv.1204.2969 · pith_short_12: HL47OFTET2OG · pith_short_16: HL47OFTET2OGXVRO · pith_short_8: HL47OFTE

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/HL47OFTET2OGXVROYH5DRW5B7G \
  | 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: 3af9f716649e9c6bd62ec1fa38dba1f9a667bd7d981ea9ea2b6a390ad1dc5b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93bc31b2b363cb6085800996910213dd02a1baf9be2224d57a19f89f5210f0b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-13T12:19:47Z",
    "title_canon_sha256": "08412a7954785a07ccabe98a4e01fd49ac678d4fdd5b272a5dc87ee3ae666fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2969",
    "kind": "arxiv",
    "version": 3
  }
}