Pith Number

pith:2Y7HPCZO

pith:2016:2Y7HPCZODNXIHTCPQ7SXRK3VQO

not attested not anchored not stored refs pending

New realizations of modular forms in Calabi-Yau threefolds arising from $\phi^4$ theory

Adam Logan

arxiv:1604.04918 v4 · 2016-04-17 · 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{2Y7HPCZODNXIHTCPQ7SXRK3VQO}

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	2026-05-18T00:02:45.997695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63e778b2e1b6e83cc4f87e578ab758384c899c045f60e06bc71efc8fd1f9d41

Aliases

arxiv: 1604.04918 · arxiv_version: 1604.04918v4 · doi: 10.48550/arxiv.1604.04918 · pith_short_12: 2Y7HPCZODNXI · pith_short_16: 2Y7HPCZODNXIHTCP · pith_short_8: 2Y7HPCZO

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/2Y7HPCZODNXIHTCPQ7SXRK3VQO \
  | 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: d63e778b2e1b6e83cc4f87e578ab758384c899c045f60e06bc71efc8fd1f9d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920c49c4f1a8701ef44abe3a31b7206e41a3cc61f39574e81646cf64c5bab8d3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-17T19:59:12Z",
    "title_canon_sha256": "32fb96708c259b28966d14d7366c4823a78f4af06f2694322aa0e6f0fd2d9a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04918",
    "kind": "arxiv",
    "version": 4
  }
}