Pith Number

pith:2MHYIWL4

pith:2026:2MHYIWL4GUP77NQYWQSQD2PV7J

not attested not anchored not stored refs pending

A note on extensions of $p$-adic representations of $\mathrm{GL}_2(\mathbb{Q}_p)$

Debargha Banerjee, Srijan Das

arxiv:2601.07707 v2 · 2026-01-12 · 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{2MHYIWL4GUP77NQYWQSQD2PV7J}

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	2026-05-21T01:05:14.675337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30f84597c351fffb618b42501e9f5fa73aeb45371dadb2177f298691793ab5d

Aliases

arxiv: 2601.07707 · arxiv_version: 2601.07707v2 · doi: 10.48550/arxiv.2601.07707 · pith_short_12: 2MHYIWL4GUP7 · pith_short_16: 2MHYIWL4GUP77NQY · pith_short_8: 2MHYIWL4

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/2MHYIWL4GUP77NQYWQSQD2PV7J \
  | 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: d30f84597c351fffb618b42501e9f5fa73aeb45371dadb2177f298691793ab5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd78f283d997a1c239ebc871e299b619c06de39998730860e160fd4964ca352",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-12T16:41:12Z",
    "title_canon_sha256": "0a169093d8e2056dfc53f212244656933dc0b6f2755c25e3fc22b8363bc3572f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.07707",
    "kind": "arxiv",
    "version": 2
  }
}