Pith Number

pith:MWZBPBA7

pith:2010:MWZBPBA7M2NWJWCL3LUELAQYMB

not attested not anchored not stored refs pending

The non-compact elliptic genus: mock or modular

Jan Troost

arxiv:1004.3649 v2 · 2010-04-21 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWZBPBA7M2NWJWCL3LUELAQYMB}

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

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-05-18T02:33:33.814681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b217841f669b64d84bdae8458218605901fb0f20e16303d1e5685ad83537ae

Aliases

arxiv: 1004.3649 · arxiv_version: 1004.3649v2 · doi: 10.48550/arxiv.1004.3649 · pith_short_12: MWZBPBA7M2NW · pith_short_16: MWZBPBA7M2NWJWCL · pith_short_8: MWZBPBA7

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/MWZBPBA7M2NWJWCL3LUELAQYMB \
  | 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: 65b217841f669b64d84bdae8458218605901fb0f20e16303d1e5685ad83537ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da153fea4f9e5ec3748fc386394a3ab162a90ba2e47852d2323ad11b851d549c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-21T08:28:54Z",
    "title_canon_sha256": "aa73d86e25dc0c21934440171a6ae335f279c7173d38e371797d70d656209803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3649",
    "kind": "arxiv",
    "version": 2
  }
}