Pith Number

pith:T25YCKFJ

pith:2011:T25YCKFJVUXR3P65TGJP2IKNMQ

not attested not anchored not stored refs pending

The Zeta Functions of Complexes from $\Sp(4)$

Chian-Jen Wang, Wen-Ching Winnie Li, Yang Fang

arxiv:1109.3854 v3 · 2011-09-18 · math.NT · 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{T25YCKFJVUXR3P65TGJP2IKNMQ}

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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	2026-05-18T04:00:52.005413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ebb8128a9ad2f1dbfdd9992fd214d6425a8a42e28cf01ac545e45e92af883e3

Aliases

arxiv: 1109.3854 · arxiv_version: 1109.3854v3 · doi: 10.48550/arxiv.1109.3854 · pith_short_12: T25YCKFJVUXR · pith_short_16: T25YCKFJVUXR3P65 · pith_short_8: T25YCKFJ

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/T25YCKFJVUXR3P65TGJP2IKNMQ \
  | 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: 9ebb8128a9ad2f1dbfdd9992fd214d6425a8a42e28cf01ac545e45e92af883e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e323388ee0ac7a25f0851f17ed00e213f4a9c54451fe2fe1bde38156e9e78e1a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-18T08:45:40Z",
    "title_canon_sha256": "cf09b35b64310b0729f9d1a1919e44083a9652e1199b5dc195c9096bcf2732ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3854",
    "kind": "arxiv",
    "version": 3
  }
}