Pith Number

pith:JJWJYREY

pith:2023:JJWJYREYNNE2BK6PEEUTKU72PF

not attested not anchored not stored refs pending

Modularity of higher theta series I: cohomology of the generic fiber

Tony Feng, Wei Zhang, Zhiwei Yun

arxiv:2308.10979 v3 · 2023-08-21 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJWJYREYNNE2BK6PEEUTKU72PF}

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	2026-06-19T16:10:27.628479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6c9c44986b49a0abcf21293553fa796f7bd46cbdb1c5ac676347e91182a868

Aliases

arxiv: 2308.10979 · arxiv_version: 2308.10979v3 · doi: 10.48550/arxiv.2308.10979 · pith_short_12: JJWJYREYNNE2 · pith_short_16: JJWJYREYNNE2BK6P · pith_short_8: JJWJYREY

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/JJWJYREYNNE2BK6PEEUTKU72PF \
  | 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: 4a6c9c44986b49a0abcf21293553fa796f7bd46cbdb1c5ac676347e91182a868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c286039c54f23e0a0bac1153f36ded195c5188c7c765397b4a57a76b65d7c714",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-21T18:54:25Z",
    "title_canon_sha256": "d661629bfe751e31ab24be913fc74f45532320dd832e6921da7fa9c918a2df17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.10979",
    "kind": "arxiv",
    "version": 3
  }
}