Pith Number

pith:YENN6H4J

pith:2015:YENN6H4JZY37ACF3IKUJX7RG7L

not attested not anchored not stored refs pending

Heat equation for theta functions and vector-valued modular forms

Sara Perna

arxiv:1510.03384 v2 · 2015-10-12 · 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{YENN6H4JZY37ACF3IKUJX7RG7L}

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	2026-05-18T01:05:12.696883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11adf1f89ce37f008bb42a89bfe26faf856b810139eb5dbdfacae89d4a42b36

Aliases

arxiv: 1510.03384 · arxiv_version: 1510.03384v2 · doi: 10.48550/arxiv.1510.03384 · pith_short_12: YENN6H4JZY37 · pith_short_16: YENN6H4JZY37ACF3 · pith_short_8: YENN6H4J

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/YENN6H4JZY37ACF3IKUJX7RG7L \
  | 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: c11adf1f89ce37f008bb42a89bfe26faf856b810139eb5dbdfacae89d4a42b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f81d1b1e331c61d825d0a93129ab24c6c386dc0358512c4fbbe129543ea73b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-12T18:32:45Z",
    "title_canon_sha256": "8140a40d936a65f035f25407d1961f3e02a91ce307fd90a3b2b5317e2834dfa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03384",
    "kind": "arxiv",
    "version": 2
  }
}