Pith Number

pith:4MDAZP7P

pith:2017:4MDAZP7PNQXO2KSOI7FUGSKKEP

not attested not anchored not stored refs pending

Borcherds Products on Unitary Group $U(2,1)$

Dongxi Ye, Tonghai Yang

arxiv:1701.08436 v1 · 2017-01-29 · 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{4MDAZP7PNQXO2KSOI7FUGSKKEP}

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	2026-05-18T00:51:54.134170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3060cbfef6c2eed2a4e47cb43494a23c067e1cb691e09a3f67e244eb70878da

Aliases

arxiv: 1701.08436 · arxiv_version: 1701.08436v1 · doi: 10.48550/arxiv.1701.08436 · pith_short_12: 4MDAZP7PNQXO · pith_short_16: 4MDAZP7PNQXO2KSO · pith_short_8: 4MDAZP7P

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/4MDAZP7PNQXO2KSOI7FUGSKKEP \
  | 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: e3060cbfef6c2eed2a4e47cb43494a23c067e1cb691e09a3f67e244eb70878da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb40306d6a2beecfddb673816ed8fe9c26951da75ece9ad223f588b1bd18387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-29T21:39:11Z",
    "title_canon_sha256": "6d7c1492341e8e6fdcca2fd08b6e1570186eddd2f06bc81d2f2d1f0ab9773de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08436",
    "kind": "arxiv",
    "version": 1
  }
}