Pith Number

pith:KGFA2C2X

pith:2026:KGFA2C2XUD3ZQIS3UBN35KWBWX

not attested not anchored not stored refs pending

$p$-adic rigidity for $\mathrm{GSp}_4$

Charlotte Clare-Hunt

arxiv:2607.02815 v1 · 2026-07-02 · 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{KGFA2C2XUD3ZQIS3UBN35KWBWX}

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	2026-07-07T00:16:18.807523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

518a0d0b57a0f798225ba05bbeaac1b5f28ce7c698eb350eb3f69b2f1021d423

Aliases

arxiv: 2607.02815 · arxiv_version: 2607.02815v1 · doi: 10.48550/arxiv.2607.02815 · pith_short_12: KGFA2C2XUD3Z · pith_short_16: KGFA2C2XUD3ZQIS3 · pith_short_8: KGFA2C2X

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/KGFA2C2XUD3ZQIS3UBN35KWBWX \
  | 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: 518a0d0b57a0f798225ba05bbeaac1b5f28ce7c698eb350eb3f69b2f1021d423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585ced361919ae49179449d6fd2aae390af988d4d0f6486bd9902bdcbfd60980",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T23:08:05Z",
    "title_canon_sha256": "918c27ad7c10705f499bccf0be93fc51190824bd7e6875a6ff082bd8e71308b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02815",
    "kind": "arxiv",
    "version": 1
  }
}