Pith Number

pith:SKBY25EC

pith:2013:SKBY25ECGXNAAGVFANJS2MPLXA

not attested not anchored not stored refs pending

Semi-simplified modulo $p$ of semi-stable representations: an algorithmic approach

David Lubicz (IRMAR, DGA), Xavier Caruso (IRMAR)

arxiv:1309.4194 v1 · 2013-09-17 · 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{SKBY25ECGXNAAGVFANJS2MPLXA}

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	2026-05-18T03:13:09.325191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92838d748235da001aa503532d31ebb80a610306b832ed1252e8a891c09a6e79

Aliases

arxiv: 1309.4194 · arxiv_version: 1309.4194v1 · doi: 10.48550/arxiv.1309.4194 · pith_short_12: SKBY25ECGXNA · pith_short_16: SKBY25ECGXNAAGVF · pith_short_8: SKBY25EC

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/SKBY25ECGXNAAGVFANJS2MPLXA \
  | 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: 92838d748235da001aa503532d31ebb80a610306b832ed1252e8a891c09a6e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d8ddd5083c8e6716adde0153ae979ef34af2bdd721acd01e9fcaeb472ea28c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-17T06:16:58Z",
    "title_canon_sha256": "06fe81276b1582ea216cff1f5e0bc4c06c70c150be7ae065c213ef33b2191ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4194",
    "kind": "arxiv",
    "version": 1
  }
}