Pith Number

pith:BTG2HCD7

pith:2015:BTG2HCD7CNYSG5ZV3MV6LYBOOK

not attested not anchored not stored refs pending

On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture

Andreas Nickel, Henri Johnston

arxiv:1509.00200 v3 · 2015-09-01 · 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{BTG2HCD7CNYSG5ZV3MV6LYBOOK}

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	2026-05-18T00:09:00.871329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccda3887f1371237735db2be5e02e72a57bb26b4d7854da0c98e6a4fe424e5a

Aliases

arxiv: 1509.00200 · arxiv_version: 1509.00200v3 · doi: 10.48550/arxiv.1509.00200 · pith_short_12: BTG2HCD7CNYS · pith_short_16: BTG2HCD7CNYSG5ZV · pith_short_8: BTG2HCD7

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/BTG2HCD7CNYSG5ZV3MV6LYBOOK \
  | 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: 0ccda3887f1371237735db2be5e02e72a57bb26b4d7854da0c98e6a4fe424e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea133bd786e61e2f04da93adfdfb2f76cd0a51f8e3365ceafdc265d411374098",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-01T09:53:08Z",
    "title_canon_sha256": "520e85a3ba2828362de6e779a0c588216cb965fb673675dd53a8152cef5a8f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00200",
    "kind": "arxiv",
    "version": 3
  }
}