Pith Number

pith:UJ2K33I4

pith:2015:UJ2K33I4TJSQBBZWEPI6LCKKUC

not attested not anchored not stored refs pending

On the Galois structure of Selmer groups

Christian Wuthrich, Daniel Macias Castillo, David Burns

arxiv:1505.04642 v1 · 2015-05-18 · 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{UJ2K33I4TJSQBBZWEPI6LCKKUC}

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	2026-05-18T02:07:24.928870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a274aded1c9a6500873623d1e5894aa0bbd3fd95b90d0f47384048606447b5d6

Aliases

arxiv: 1505.04642 · arxiv_version: 1505.04642v1 · doi: 10.48550/arxiv.1505.04642 · pith_short_12: UJ2K33I4TJSQ · pith_short_16: UJ2K33I4TJSQBBZW · pith_short_8: UJ2K33I4

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/UJ2K33I4TJSQBBZWEPI6LCKKUC \
  | 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: a274aded1c9a6500873623d1e5894aa0bbd3fd95b90d0f47384048606447b5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4971a8e10a92237fbeedd651754ee9167a4b7f3032101530e516cdaf44408c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-18T13:50:50Z",
    "title_canon_sha256": "7cabc00e87af8a3308ee3f62dd69f3db285244a9597a77a9f9107dae10ec0067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04642",
    "kind": "arxiv",
    "version": 1
  }
}