Pith Number

pith:WQP5IPSE

pith:2016:WQP5IPSEAWNSFLBQ6TM2FRDORF

not attested not anchored not stored refs pending

Topics on modular Galois representations modulo prime powers

Gabor Wiese, Panagiotis Tsaknias

arxiv:1612.05017 v2 · 2016-12-15 · 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{WQP5IPSEAWNSFLBQ6TM2FRDORF}

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	2026-05-18T00:41:07.613178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41fd43e44059b22ac30f4d9a2c46e897fb422e574560886908f8fe90f9bc173

Aliases

arxiv: 1612.05017 · arxiv_version: 1612.05017v2 · doi: 10.48550/arxiv.1612.05017 · pith_short_12: WQP5IPSEAWNS · pith_short_16: WQP5IPSEAWNSFLBQ · pith_short_8: WQP5IPSE

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/WQP5IPSEAWNSFLBQ6TM2FRDORF \
  | 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: b41fd43e44059b22ac30f4d9a2c46e897fb422e574560886908f8fe90f9bc173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0d5317a25e5e18e4b213ffbbc2e6ca5d5d9344cb9bb181424a84f8cdc45e87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-15T11:08:44Z",
    "title_canon_sha256": "f09c56000fe2272f84067f8c6338a293a49cc6d37106c1897efd9fc7ce2b1252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05017",
    "kind": "arxiv",
    "version": 2
  }
}