Pith Number

pith:F4UBSYEG

pith:2009:F4UBSYEGKRAF4U5ES752CVBY4H

not attested not anchored not stored refs pending

On two dimensional weight two odd representations of totally real fields

Andrew Snowden

arxiv:0905.4266 v1 · 2009-05-26 · 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{F4UBSYEGKRAF4U5ES752CVBY4H}

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.

Cited by

1 paper in Pith

On the modularity of 2-adic potentially semi-stable deformation rings

Receipt and verification

First computed	2026-07-04T15:42:55.951327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2819608654405e53a497fba15438e1eff6a3cae886e0df3c832940802e2778

Aliases

arxiv: 0905.4266 · arxiv_version: 0905.4266v1 · doi: 10.48550/arxiv.0905.4266 · pith_short_12: F4UBSYEGKRAF · pith_short_16: F4UBSYEGKRAF4U5E · pith_short_8: F4UBSYEG

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/F4UBSYEGKRAF4U5ES752CVBY4H \
  | 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: 2f2819608654405e53a497fba15438e1eff6a3cae886e0df3c832940802e2778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372b6e2baddd4962293a2e5e8af1fc2aeb2da749d90bb42de294274735480d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-26T18:40:00Z",
    "title_canon_sha256": "530664a3831758dd9c7e94ba2f6f47a7465456afbffcc80c7261bdfefdc7fbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4266",
    "kind": "arxiv",
    "version": 1
  }
}