Pith Number

pith:2RBCUCHG

pith:2015:2RBCUCHGRMVEPXLCGYBE3CERPJ

not attested not anchored not stored refs pending

First covering of Drinfel'd upper half plane and Banach representations of GL_2(Q_p)

Lue Pan

arxiv:1510.03006 v2 · 2015-10-11 · 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{2RBCUCHGRMVEPXLCGYBE3CERPJ}

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	2026-05-18T00:42:33.261690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4422a08e68b2a47dd6236024d88917a55c2181409745e2900de62c55b1ea42e

Aliases

arxiv: 1510.03006 · arxiv_version: 1510.03006v2 · doi: 10.48550/arxiv.1510.03006 · pith_short_12: 2RBCUCHGRMVE · pith_short_16: 2RBCUCHGRMVEPXLC · pith_short_8: 2RBCUCHG

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/2RBCUCHGRMVEPXLCGYBE3CERPJ \
  | 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: d4422a08e68b2a47dd6236024d88917a55c2181409745e2900de62c55b1ea42e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c45de8b27d4197224bc377d0cacecd69c56bb0e3980315bb1be2a7968ca7095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-11T03:56:08Z",
    "title_canon_sha256": "fc6c6fdc3c288aeddaa56e45e4d9f567bb780324bd3d3d8bbb4d522b8aa6ed95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03006",
    "kind": "arxiv",
    "version": 2
  }
}