Pith Number

pith:B7RBGTOP

pith:2026:B7RBGTOPKUZHFFMG5IPOLIPGXP

not attested not anchored not stored refs pending

Potential semistability of Finite height Galois representations: Relative case

Kaustabh Mondal

arxiv:2606.26043 v1 · 2026-06-24 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7RBGTOPKUZHFFMG5IPOLIPGXP}

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	2026-06-25T01:18:46.728666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe2134dcf5532729586ea1ee5a1e6bbcea5db5b5a989168a2bd5e43be9c9b95

Aliases

arxiv: 2606.26043 · arxiv_version: 2606.26043v1 · doi: 10.48550/arxiv.2606.26043 · pith_short_12: B7RBGTOPKUZH · pith_short_16: B7RBGTOPKUZHFFMG · pith_short_8: B7RBGTOP

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/B7RBGTOPKUZHFFMG5IPOLIPGXP \
  | 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: 0fe2134dcf5532729586ea1ee5a1e6bbcea5db5b5a989168a2bd5e43be9c9b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a44bc145c236dd667782657d015e01d524d233a35b7f7fc0fc7a11d9740babc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-24T17:18:48Z",
    "title_canon_sha256": "41adfced2a115c1f0a68c7cd502aad5fd5f8fd4b6900581b7c2b036342c94f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26043",
    "kind": "arxiv",
    "version": 1
  }
}