Pith Number

pith:HR76S7BW

pith:2015:HR76S7BWSLCXR4ZQQHWAD4TZSF

not attested not anchored not stored refs pending

Iwasawa theory and $F$-analytic Lubin-Tate $(\varphi,\Gamma)$-modules

Laurent Berger, Lionel Fourquaux

arxiv:1512.03383 v2 · 2015-12-10 · 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{HR76S7BWSLCXR4ZQQHWAD4TZSF}

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	2026-05-18T00:41:18.500052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c7fe97c3692c578f33081ec01f27991753a335e09895e9b18448515dc20db37

Aliases

arxiv: 1512.03383 · arxiv_version: 1512.03383v2 · doi: 10.48550/arxiv.1512.03383 · pith_short_12: HR76S7BWSLCX · pith_short_16: HR76S7BWSLCXR4ZQ · pith_short_8: HR76S7BW

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/HR76S7BWSLCXR4ZQQHWAD4TZSF \
  | 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: 3c7fe97c3692c578f33081ec01f27991753a335e09895e9b18448515dc20db37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852f9b400a0f9a3b58e9aebf1497843e7d0aae230cd441d6761d6a5e093227d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-10T19:50:38Z",
    "title_canon_sha256": "344bef867ab473972cfb19fac2f5a6348c9b26292517fb768134e6f1a8162d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03383",
    "kind": "arxiv",
    "version": 2
  }
}