Pith Number

pith:FANXU7GC

pith:2000:FANXU7GCXEOCC2RBPDTDQSKI5T

not attested not anchored not stored refs pending

Deformations of Galois representations arising from degenerate extensions

Adam Logan

arxiv:math/0003136 v1 · 2000-03-23 · 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{FANXU7GCXEOCC2RBPDTDQSKI5T}

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	2026-05-18T01:05:38.759179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281b7a7cc2b91c216a2178e6384948ecfc75f63f70369ade8c374224ff103fa9

Aliases

arxiv: math/0003136 · arxiv_version: math/0003136v1 · doi: 10.48550/arxiv.math/0003136 · pith_short_12: FANXU7GCXEOC · pith_short_16: FANXU7GCXEOCC2RB · pith_short_8: FANXU7GC

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/FANXU7GCXEOCC2RBPDTDQSKI5T \
  | 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: 281b7a7cc2b91c216a2178e6384948ecfc75f63f70369ade8c374224ff103fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d52c763c39491813439188919c31e82cd8f0a249bc8218ee844d4ec3b8f4a028",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2000-03-23T01:45:19Z",
    "title_canon_sha256": "4673384674c3a0fd297205e8218fb8bbbb412f249831e5931723197ab5302731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003136",
    "kind": "arxiv",
    "version": 1
  }
}