Pith Number

pith:Z3WPWLTS

pith:2016:Z3WPWLTSBG2FYBT64DSZPKOCR7

not attested not anchored not stored refs pending

Distinguishing Galois representations by their normalized traces

C. S. Rajan, Vijay M. Patankar

arxiv:1609.09724 v1 · 2016-09-30 · 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{Z3WPWLTSBG2FYBT64DSZPKOCR7}

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	2026-05-18T01:03:33.582099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceecfb2e7209b45c067ee0e597a9c28fca99ac6ea20419a4e0c5eb836d5c6452

Aliases

arxiv: 1609.09724 · arxiv_version: 1609.09724v1 · doi: 10.48550/arxiv.1609.09724 · pith_short_12: Z3WPWLTSBG2F · pith_short_16: Z3WPWLTSBG2FYBT6 · pith_short_8: Z3WPWLTS

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/Z3WPWLTSBG2FYBT64DSZPKOCR7 \
  | 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: ceecfb2e7209b45c067ee0e597a9c28fca99ac6ea20419a4e0c5eb836d5c6452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7247fc3a4c4bb0201cffcad82b558ab2f15e69db871f5e432a0e1eee6bfff70b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-30T13:36:20Z",
    "title_canon_sha256": "9b1e45399334625ac3aec95aa97fc39d321cdbf50afc10288209f406cf5c5e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09724",
    "kind": "arxiv",
    "version": 1
  }
}