Pith Number

pith:IMHFCUH4

pith:2022:IMHFCUH45XVKYHSABZVCYFH5S2

not attested not anchored not stored refs pending

Stuffle regularized multiple Eisenstein series revisited

Henrik Bachmann

arxiv:2212.10700 v1 · 2022-12-21 · 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{IMHFCUH45XVKYHSABZVCYFH5S2}

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	2026-07-05T05:27:21.935896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430e5150fcedeaac1e400e6a2c14fd96a1eb1126618dc9eb2877058caf35f2e3

Aliases

arxiv: 2212.10700 · arxiv_version: 2212.10700v1 · doi: 10.48550/arxiv.2212.10700 · pith_short_12: IMHFCUH45XVK · pith_short_16: IMHFCUH45XVKYHSA · pith_short_8: IMHFCUH4

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/IMHFCUH45XVKYHSABZVCYFH5S2 \
  | 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: 430e5150fcedeaac1e400e6a2c14fd96a1eb1126618dc9eb2877058caf35f2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3accad9af06deb91b3311e07c2592af1bf0772b92d073b3e182a792ca4692c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-21T00:30:23Z",
    "title_canon_sha256": "bab611c05a76cd8197a24070c820a68ad88c72f636a657391f8ef96b72f05ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10700",
    "kind": "arxiv",
    "version": 1
  }
}