Pith Number

pith:YKDPEVER

pith:2015:YKDPEVERB75FADIGZDBQOB5HXG

not attested not anchored not stored refs pending

Archimedean zeta integrals on U(2,1)

Dongwen Liu

arxiv:1503.06730 v1 · 2015-03-23 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKDPEVERB75FADIGZDBQOB5HXG}

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	2026-05-18T02:09:54.079095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c286f254910ffa500d06c8c30707a7b9b7d11a771b9188e399a7ed13353b29bd

Aliases

arxiv: 1503.06730 · arxiv_version: 1503.06730v1 · doi: 10.48550/arxiv.1503.06730 · pith_short_12: YKDPEVERB75F · pith_short_16: YKDPEVERB75FADIG · pith_short_8: YKDPEVER

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/YKDPEVERB75FADIGZDBQOB5HXG \
  | 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: c286f254910ffa500d06c8c30707a7b9b7d11a771b9188e399a7ed13353b29bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af00934e58c37357766824c7ce2671a38175eb0b10de97b3dbf81abacb97fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-03-23T17:15:28Z",
    "title_canon_sha256": "7f64e6da6978d135dddf6cee772637808a0c7c6dc49e63e4f25a11aa957c8cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06730",
    "kind": "arxiv",
    "version": 1
  }
}