Pith Number

pith:47LV3GG7

pith:2017:47LV3GG7NSWGO7XS2VHEQYN6PI

not attested not anchored not stored refs pending

G-valued local deformation rings and global lifts

Rebecca Bellovin, Toby Gee

arxiv:1708.04885 v3 · 2017-08-16 · 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{47LV3GG7NSWGO7XS2VHEQYN6PI}

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	2026-05-17T23:50:16.416775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7d75d98df6cac677ef2d54e4861be7a0e22fae5fd2a8a73e19d5515c2498dd7

Aliases

arxiv: 1708.04885 · arxiv_version: 1708.04885v3 · doi: 10.48550/arxiv.1708.04885 · pith_short_12: 47LV3GG7NSWG · pith_short_16: 47LV3GG7NSWGO7XS · pith_short_8: 47LV3GG7

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/47LV3GG7NSWGO7XS2VHEQYN6PI \
  | 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: e7d75d98df6cac677ef2d54e4861be7a0e22fae5fd2a8a73e19d5515c2498dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a628e8ed371483e0c79e6ed54a2e4479149a7716d604a903bcaf2f4c53ad1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-16T13:26:07Z",
    "title_canon_sha256": "2923317b6b12e46ac9f40de96d01b7281c16e36d9e7216e3627210172d37d1e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04885",
    "kind": "arxiv",
    "version": 3
  }
}