Pith Number

pith:7CXLIR3T

pith:2026:7CXLIR3T6SRYYSN2NEDYFI2JJE

not attested not anchored not stored refs pending

Iwasawa invariants of Bertolini--Darmon Theta Elements

Abhishek, Jishnu Ray, Pronay Kumar Karmakar

arxiv:2605.29783 v1 · 2026-05-28 · 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{7CXLIR3T6SRYYSN2NEDYFI2JJE}

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	2026-05-29T02:05:52.122582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8aeb44773f4a38c49ba690782a34949164b1502122e18dfbbaa38c502bc2ec0

Aliases

arxiv: 2605.29783 · arxiv_version: 2605.29783v1 · doi: 10.48550/arxiv.2605.29783 · pith_short_12: 7CXLIR3T6SRY · pith_short_16: 7CXLIR3T6SRYYSN2 · pith_short_8: 7CXLIR3T

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/7CXLIR3T6SRYYSN2NEDYFI2JJE \
  | 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: f8aeb44773f4a38c49ba690782a34949164b1502122e18dfbbaa38c502bc2ec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f68ed596c54fc6306919acda70cfd08541732ac78d21977acd9131da0dd86d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-28T11:32:26Z",
    "title_canon_sha256": "2f508c476d65f17e44e75acef5328e137d588c43946b5fefed51be71b4e14ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29783",
    "kind": "arxiv",
    "version": 1
  }
}