Pith Number

pith:ATAJIL2B

pith:2014:ATAJIL2BX3HVD4RJ626472RSQK

not attested not anchored not stored refs pending

Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves

C. S. Rajan, Manisha Kulkarni, Vijay M. Patankar

arxiv:1403.5635 v3 · 2014-03-22 · 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{ATAJIL2BX3HVD4RJ626472RSQK}

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	2026-05-18T02:19:25.682272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c0942f41becf51f229f6bdcfea32828067db3aaebb38c6dd7375a93411da63

Aliases

arxiv: 1403.5635 · arxiv_version: 1403.5635v3 · doi: 10.48550/arxiv.1403.5635 · pith_short_12: ATAJIL2BX3HV · pith_short_16: ATAJIL2BX3HVD4RJ · pith_short_8: ATAJIL2B

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/ATAJIL2BX3HVD4RJ626472RSQK \
  | 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: 04c0942f41becf51f229f6bdcfea32828067db3aaebb38c6dd7375a93411da63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03b9a789847e04dd0348dd41f101c7eada570b93dbf04d9cdee8efe26e38621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-22T09:36:34Z",
    "title_canon_sha256": "7b6be57010e2b446dee975cbc5e227fab3c50684f8c851f1fd673d3822872f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5635",
    "kind": "arxiv",
    "version": 3
  }
}