Pith Number

pith:K54HE2XW

pith:2017:K54HE2XWIUHSTXK2X4LIXXUBRK

not attested not anchored not stored refs pending

Zhu reduction for Jacobi $n$-point functions and applications

Kathrin Bringmann, Matthew Krauel, Michael P. Tuite

arxiv:1706.07596 v1 · 2017-06-23 · math.QA · 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{K54HE2XWIUHSTXK2X4LIXXUBRK}

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	2026-05-18T00:41:48.681583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5778726af6450f29dd5abf168bde818a8fb92017bef3f4abe9bd4fd0481299b8

Aliases

arxiv: 1706.07596 · arxiv_version: 1706.07596v1 · doi: 10.48550/arxiv.1706.07596 · pith_short_12: K54HE2XWIUHS · pith_short_16: K54HE2XWIUHSTXK2 · pith_short_8: K54HE2XW

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/K54HE2XWIUHSTXK2X4LIXXUBRK \
  | 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: 5778726af6450f29dd5abf168bde818a8fb92017bef3f4abe9bd4fd0481299b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b839ca931b60d270cf610c36fe6380b2c6437ab4029dfc4fb6c3787330c302e7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-06-23T08:28:51Z",
    "title_canon_sha256": "4442f1ece32d54a411c20aa4fa65e6dd3270ffedacd87fb6e8a4522de16f41c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07596",
    "kind": "arxiv",
    "version": 1
  }
}