Pith Number

pith:SOBREHEN

pith:2011:SOBREHENRB7TZOQ2TEYHAYK6W7

not attested not anchored not stored refs pending

Index formulae for integral Galois modules

Alex Bartel, Bart de Smit

arxiv:1105.3876 v4 · 2011-05-19 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOBREHENRB7TZOQ2TEYHAYK6W7}

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	2026-05-18T01:30:43.567660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9383121c8d887f3cba1a993070615eb7f90a0493b97e3e6cd2499435724e357a

Aliases

arxiv: 1105.3876 · arxiv_version: 1105.3876v4 · doi: 10.48550/arxiv.1105.3876 · pith_short_12: SOBREHENRB7T · pith_short_16: SOBREHENRB7TZOQ2 · pith_short_8: SOBREHEN

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/SOBREHENRB7TZOQ2TEYHAYK6W7 \
  | 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: 9383121c8d887f3cba1a993070615eb7f90a0493b97e3e6cd2499435724e357a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab95d4a8c0b94b277816f7efd6fa529e82a498670cc2a55ffc18d1078019aea",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-19T14:06:04Z",
    "title_canon_sha256": "df0ff04dbba565ffc2a70a09231b3203367f410c50e63524dc026f3a2abc7a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3876",
    "kind": "arxiv",
    "version": 4
  }
}