Pith Number

pith:WBOSVXQ6

pith:2025:WBOSVXQ6KZALUIKMMB6LBVMW5A

not attested not anchored not stored refs pending

Exotic periodic phenomena in the cohomology of the moduli stack of $1$-dimensional formal group laws

Daniel C. Isaksen, Guchuan Li, Hana Jia Kong, Heyi Zhu, Yangyang Ruan

arxiv:2504.14383 v2 · 2025-04-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBOSVXQ6KZALUIKMMB6LBVMW5A}

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	2026-07-05T10:52:40.653508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05d2ade1e5640ba214c607cb0d596e80d29ff8a4953dc99f37fb3c77efb37fd

Aliases

arxiv: 2504.14383 · arxiv_version: 2504.14383v2 · doi: 10.48550/arxiv.2504.14383 · pith_short_12: WBOSVXQ6KZAL · pith_short_16: WBOSVXQ6KZALUIKM · pith_short_8: WBOSVXQ6

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/WBOSVXQ6KZALUIKMMB6LBVMW5A \
  | 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: b05d2ade1e5640ba214c607cb0d596e80d29ff8a4953dc99f37fb3c77efb37fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50adc9b51d977b69dda89b817ff203364941ef8f09a7354b3c4a2bc24689aa4d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-04-19T19:13:13Z",
    "title_canon_sha256": "20f2903b63d8f0ba9cd164b1200cf9f8f5d819bb5265cf4139b82135b6cec117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14383",
    "kind": "arxiv",
    "version": 2
  }
}