Pith Number

pith:AJ5RBPMS

pith:2026:AJ5RBPMSKCIOW3DB3TP7WT2X4N

not attested not anchored not stored refs pending

Depth Two Mock Modularity by Eisenstein Series Coupling

Caner Nazaroglu, Kathrin Bringmann

arxiv:2607.00643 v1 · 2026-07-01 · math.NT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJ5RBPMSKCIOW3DB3TP7WT2X4N}

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	2026-07-02T01:17:50.224961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027b10bd925090eb6c61dcdffb4f57e3737f282f5f26e73442c384961b7310bb

Aliases

arxiv: 2607.00643 · arxiv_version: 2607.00643v1 · doi: 10.48550/arxiv.2607.00643 · pith_short_12: AJ5RBPMSKCIO · pith_short_16: AJ5RBPMSKCIOW3DB · pith_short_8: AJ5RBPMS

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/AJ5RBPMSKCIOW3DB3TP7WT2X4N \
  | 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: 027b10bd925090eb6c61dcdffb4f57e3737f282f5f26e73442c384961b7310bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d02ce258e46873b849ce359b009d53ba90af6014fc7292f44813c059fff479",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T08:58:18Z",
    "title_canon_sha256": "cc4776aec9b85f10de7116265af21c4695af3d29f61f9e67337fcf141d520fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00643",
    "kind": "arxiv",
    "version": 1
  }
}