Pith Number

pith:Q2Y2WAJ2

pith:2015:Q2Y2WAJ23K664MD72J64LD676Z

not attested not anchored not stored refs pending

On the refined Gan-Gross-Prasad conjecture for cusp forms of GSp(4)

Jun Wen

arxiv:1512.09222 v4 · 2015-12-31 · 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{Q2Y2WAJ23K664MD72J64LD676Z}

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	2026-05-18T01:12:32.576830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b1ab013adabdee307fd27dc58fdff64cd3a496f48bc5f03dbf208466239032

Aliases

arxiv: 1512.09222 · arxiv_version: 1512.09222v4 · doi: 10.48550/arxiv.1512.09222 · pith_short_12: Q2Y2WAJ23K66 · pith_short_16: Q2Y2WAJ23K664MD7 · pith_short_8: Q2Y2WAJ2

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/Q2Y2WAJ23K664MD72J64LD676Z \
  | 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: 86b1ab013adabdee307fd27dc58fdff64cd3a496f48bc5f03dbf208466239032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3384ad3e53b04e2000b5d243c6d90bdf4de88999f848de0ff2a9f4c2a459c4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-31T06:05:22Z",
    "title_canon_sha256": "0dce97943e3e19e76011e444915248c2eb731bc8706e0e0d09cfe2aa7e848028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09222",
    "kind": "arxiv",
    "version": 4
  }
}