Pith Number

pith:XL2O7NJV

pith:2014:XL2O7NJVFZG4BBLNSKMRDZJBX4

not attested not anchored not stored refs pending

Lifting to GL(2) over a quaternion division algebra and an explicit construction of CAP representations

Ameya Pitale, Hiro-aki Narita, Masanori Muto

arxiv:1405.4770 v1 · 2014-05-19 · 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{XL2O7NJVFZG4BBLNSKMRDZJBX4}

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	2026-05-18T02:51:34.709571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf4efb5352e4dc0856d929911e521bf13da5a1cbc9727752ce8afab7976cec7

Aliases

arxiv: 1405.4770 · arxiv_version: 1405.4770v1 · doi: 10.48550/arxiv.1405.4770 · pith_short_12: XL2O7NJVFZG4 · pith_short_16: XL2O7NJVFZG4BBLN · pith_short_8: XL2O7NJV

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/XL2O7NJVFZG4BBLNSKMRDZJBX4 \
  | 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: baf4efb5352e4dc0856d929911e521bf13da5a1cbc9727752ce8afab7976cec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3f2bd5b55ec9890b2256ab84ec3d538345b0e71ae7d1156290402c69abbb82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-19T15:41:18Z",
    "title_canon_sha256": "9c529cc26dc3e7ba510fa6270cecf8afeabc00c60abcc32d8b01b6c38c70ee3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4770",
    "kind": "arxiv",
    "version": 1
  }
}