Pith Number

pith:7IYJXBCI

pith:2018:7IYJXBCIBJRX6D33OJIGIHZXNI

not attested not anchored not stored refs pending

Towards the finite slope part for $\mathrm{GL}_n$

Christophe Breuil, Florian Herzig

arxiv:1806.02695 v3 · 2018-06-07 · 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{7IYJXBCIBJRX6D33OJIGIHZXNI}

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	2026-07-05T02:26:38.509156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa309b84480a637f0f7b7250641f376a27780d5a036c34d1510f086b83af51bc

Aliases

arxiv: 1806.02695 · arxiv_version: 1806.02695v3 · doi: 10.48550/arxiv.1806.02695 · pith_short_12: 7IYJXBCIBJRX · pith_short_16: 7IYJXBCIBJRX6D33 · pith_short_8: 7IYJXBCI

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/7IYJXBCIBJRX6D33OJIGIHZXNI \
  | 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: fa309b84480a637f0f7b7250641f376a27780d5a036c34d1510f086b83af51bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f87f7b045ed0f3ab2e905f265cb0f89ff3e1cc5aee7a1b58acff8ed63776dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-07T14:16:14Z",
    "title_canon_sha256": "a6339860b98c4cfc71c02a45bb1d44965c2d75b7fcbc09815d684869dbe1c46d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02695",
    "kind": "arxiv",
    "version": 3
  }
}