Pith Number

pith:EKCLI2JJ

pith:2026:EKCLI2JJBEMF2YYZYTFQY7Z6TO

not attested not anchored not stored refs pending

Schur Eisenstein series and Schur MacMahon series

Henrik Bachmann, Jinbo Yu

arxiv:2607.27702 v1 · 2026-07-30 · math.NT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKCLI2JJBEMF2YYZYTFQY7Z6TO}

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	2026-07-31T01:29:55.435473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

2284b4692909185d6319c4cb0c7f3e9b91def013f176c6b4c43d7460e2183ffd

Aliases

arxiv: 2607.27702 · arxiv_version: 2607.27702v1 · doi: 10.48550/arxiv.2607.27702 · pith_short_12: EKCLI2JJBEMF · pith_short_16: EKCLI2JJBEMF2YYZ · pith_short_8: EKCLI2JJ

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/EKCLI2JJBEMF2YYZYTFQY7Z6TO \
  | 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: 2284b4692909185d6319c4cb0c7f3e9b91def013f176c6b4c43d7460e2183ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5928d9a66aea3b74ea5b3d643eabaa9a7b07d4a39e0c330b6e714d5336efbd",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-30T05:38:51Z",
    "title_canon_sha256": "efa9852ea23fc09bd122b34e32e56e97828dd68644c02d35d8704b750f47e1ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27702",
    "kind": "arxiv",
    "version": 1
  }
}