Pith Number

pith:SCUABNDR

pith:2011:SCUABNDRKR4K2UQUWX6WXRKFIP

not attested not anchored not stored refs pending

Bounds for Serre's open image theorem

David Zywina

arxiv:1102.4656 v1 · 2011-02-23 · 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{SCUABNDRKR4K2UQUWX6WXRKFIP}

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	2026-05-18T04:28:07.697097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90a800b4715478ad5214b5fd6bc54543de9daf3104e4f3523bba88f41825cf5b

Aliases

arxiv: 1102.4656 · arxiv_version: 1102.4656v1 · doi: 10.48550/arxiv.1102.4656 · pith_short_12: SCUABNDRKR4K · pith_short_16: SCUABNDRKR4K2UQU · pith_short_8: SCUABNDR

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/SCUABNDRKR4K2UQUWX6WXRKFIP \
  | 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: 90a800b4715478ad5214b5fd6bc54543de9daf3104e4f3523bba88f41825cf5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d91d21cf8ecd6db3d8eda10941334b8dff030e33f24598d40aa0c481c32dfb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-23T02:56:44Z",
    "title_canon_sha256": "c8eb13f2aaae9d62d5b0b7794e8e5fc2c797244b1e9d5606e78e78d52c668455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4656",
    "kind": "arxiv",
    "version": 1
  }
}