Pith Number

pith:CG2H5A2I

pith:2017:CG2H5A2I6NFRZABZRNKHKMXF6K

not attested not anchored not stored refs pending

Computing modular Galois representations for small $\ell$

Peng Tian

arxiv:1707.06736 v1 · 2017-07-21 · 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{CG2H5A2I6NFRZABZRNKHKMXF6K}

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	2026-05-18T00:39:51.825092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b47e8348f34b1c80398b547532e5f289a3f989c61ae058430a9b6f91b4b25c

Aliases

arxiv: 1707.06736 · arxiv_version: 1707.06736v1 · doi: 10.48550/arxiv.1707.06736 · pith_short_12: CG2H5A2I6NFR · pith_short_16: CG2H5A2I6NFRZABZ · pith_short_8: CG2H5A2I

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/CG2H5A2I6NFRZABZRNKHKMXF6K \
  | 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: 11b47e8348f34b1c80398b547532e5f289a3f989c61ae058430a9b6f91b4b25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7417c3eba0b6277622b80b98af54490fdf4067e3bc9dc696801de82ff72d25d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-21T01:59:10Z",
    "title_canon_sha256": "ef105dbe166f0d638c52732568637240c35f7fbf5e3730189858d6d2a9db0d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06736",
    "kind": "arxiv",
    "version": 1
  }
}