Pith Number

pith:QAOEEWAL

pith:2008:QAOEEWALAL5O77BDQDGYVOCIKE

not attested not anchored not stored refs pending

Phi-modules and coefficient spaces

G. Pappas, M. Rapoport

arxiv:0811.1170 v1 · 2008-11-07 · math.AG · 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{QAOEEWALAL5O77BDQDGYVOCIKE}

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.

Cited by

1 paper in Pith

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups

Receipt and verification

First computed	2026-07-04T15:15:54.576519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

801c42580b02faeffc2380cd8ab848513f2a312718509c4f9c5fb816a1dfaaab

Aliases

arxiv: 0811.1170 · arxiv_version: 0811.1170v1 · doi: 10.48550/arxiv.0811.1170 · pith_short_12: QAOEEWALAL5O · pith_short_16: QAOEEWALAL5O77BD · pith_short_8: QAOEEWAL

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/QAOEEWALAL5O77BDQDGYVOCIKE \
  | 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: 801c42580b02faeffc2380cd8ab848513f2a312718509c4f9c5fb816a1dfaaab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1872c9aa59ecdaebd3adad6b110c30b1a5f2417bf95b7e614971249548fba26",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-07T18:39:29Z",
    "title_canon_sha256": "1a31a8221d2a7f02d18056b756d406ab4adb28e3eab203ce5050d7fe6e62ec48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1170",
    "kind": "arxiv",
    "version": 1
  }
}