Pith Number

pith:4NFAY3DV

pith:2013:4NFAY3DVAJAYRM6TFQ6ZMTQWPM

not attested not anchored not stored refs pending

Topological modular forms with level structure

Michael Hill, Tyler Lawson

arxiv:1312.7394 v2 · 2013-12-28 · math.AT · 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{4NFAY3DVAJAYRM6TFQ6ZMTQWPM}

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.

Cited by

1 paper in Pith

Topological Elliptic Genera I -- The mathematical foundation

Receipt and verification

First computed	2026-05-18T02:27:58.816567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34a0c6c75024188b3d32c3d964e167b0bcff9162b135fb680d888379f8eb8e2

Aliases

arxiv: 1312.7394 · arxiv_version: 1312.7394v2 · doi: 10.48550/arxiv.1312.7394 · pith_short_12: 4NFAY3DVAJAY · pith_short_16: 4NFAY3DVAJAYRM6T · pith_short_8: 4NFAY3DV

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/4NFAY3DVAJAYRM6TFQ6ZMTQWPM \
  | 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: e34a0c6c75024188b3d32c3d964e167b0bcff9162b135fb680d888379f8eb8e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc3e4186ae6cc3b6cb89f4448ea0f222d50fa6bba1bfb3172f223f443bcdc71",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-28T05:22:51Z",
    "title_canon_sha256": "87380135d0a77377da120e91228b2c8bcdae6b6b3b920bc1e18b0d891581e70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7394",
    "kind": "arxiv",
    "version": 2
  }
}