Pith Number

pith:UCSH2BZF

pith:2014:UCSH2BZFRLH27HQS37JOWE3R5O

not attested not anchored not stored refs pending

The Picard group of topological modular forms via descent theory

Akhil Mathew, Vesna Stojanoska

arxiv:1409.7702 v4 · 2014-09-26 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCSH2BZFRLH27HQS37JOWE3R5O}

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	2026-05-18T00:53:26.392212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0a47d07258acfaf9e12dfd2eb1371ebb7b3e733257f49071eddd077d4523c5f

Aliases

arxiv: 1409.7702 · arxiv_version: 1409.7702v4 · doi: 10.48550/arxiv.1409.7702 · pith_short_12: UCSH2BZFRLH2 · pith_short_16: UCSH2BZFRLH27HQS · pith_short_8: UCSH2BZF

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/UCSH2BZFRLH27HQS37JOWE3R5O \
  | 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: a0a47d07258acfaf9e12dfd2eb1371ebb7b3e733257f49071eddd077d4523c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40964424b26d71ad7d05f6aa5984790f1a1f02e5f1ec7dd0d0a18e83c6681997",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-09-26T20:01:06Z",
    "title_canon_sha256": "c433b7c53fdf6e25f5771e79be835c185d5b5cf0354cba23304dfc35980d931b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7702",
    "kind": "arxiv",
    "version": 4
  }
}