Pith Number

pith:5UQXLQUW

pith:2011:5UQXLQUWKFGDBA6ASZ42CGURBF

not attested not anchored not stored refs pending

Local-global compatibility for l=p, II

David Geraghty, Richard Taylor, Thomas Barnet-Lamb, Toby Gee

arxiv:1105.2242 v1 · 2011-05-11 · 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{5UQXLQUWKFGDBA6ASZ42CGURBF}

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	2026-05-18T04:22:21.212354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2175c296514c3083c09679a11a910977b2239b1ba6ca46234daf658889fd7c

Aliases

arxiv: 1105.2242 · arxiv_version: 1105.2242v1 · doi: 10.48550/arxiv.1105.2242 · pith_short_12: 5UQXLQUWKFGD · pith_short_16: 5UQXLQUWKFGDBA6A · pith_short_8: 5UQXLQUW

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/5UQXLQUWKFGDBA6ASZ42CGURBF \
  | 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: ed2175c296514c3083c09679a11a910977b2239b1ba6ca46234daf658889fd7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414e8453bc533c14f5da0476cade02e6bb5b20666eff73e025dbba341df3cbfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-11T16:31:09Z",
    "title_canon_sha256": "d21daff518e49327b84a00deb8b1186dc5db82847c4175e539676fd0d756cb55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2242",
    "kind": "arxiv",
    "version": 1
  }
}