Pith Number

pith:FGFQG3O5

pith:2015:FGFQG3O5X6PTERERNTPASD5LNN

not attested not anchored not stored refs pending

Rigid character groups, Lubin-Tate theory, and $(\varphi,\Gamma)$-modules

Bingyong Xie, Laurent Berger, Peter Schneider

arxiv:1511.01819 v1 · 2015-11-05 · 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{FGFQG3O5X6PTERERNTPASD5LNN}

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	2026-05-18T01:27:39.702027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298b036dddbf9f3244916cde090fab6b710cf6c1b60f49e33e292350a936d5e4

Aliases

arxiv: 1511.01819 · arxiv_version: 1511.01819v1 · doi: 10.48550/arxiv.1511.01819 · pith_short_12: FGFQG3O5X6PT · pith_short_16: FGFQG3O5X6PTERER · pith_short_8: FGFQG3O5

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/FGFQG3O5X6PTERERNTPASD5LNN \
  | 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: 298b036dddbf9f3244916cde090fab6b710cf6c1b60f49e33e292350a936d5e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30961e1db40605f5bc70a40a5e60ba1fff2022f668495dcbd76c08cadccb5a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-05T17:22:03Z",
    "title_canon_sha256": "961daca140574e7a98a7648827cfb53937ed05a6038e37fe3f5e393a4c2d8eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01819",
    "kind": "arxiv",
    "version": 1
  }
}