Pith Number

pith:MULBGDE5

pith:2015:MULBGDE5OJM2N44DXS3X5RYALY

not attested not anchored not stored refs pending

Classical limit of irregular blocks and Mathieu functions

Artur R. Pietrykowski, Marcin Piatek

arxiv:1509.08164 v1 · 2015-09-28 · 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{MULBGDE5OJM2N44DXS3X5RYALY}

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	2026-05-18T01:20:33.975520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6516130c9d7259a6f383bcb77ec7005e3641ca38e501796a6db9653f11c1b5bf

Aliases

arxiv: 1509.08164 · arxiv_version: 1509.08164v1 · doi: 10.48550/arxiv.1509.08164 · pith_short_12: MULBGDE5OJM2 · pith_short_16: MULBGDE5OJM2N44D · pith_short_8: MULBGDE5

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/MULBGDE5OJM2N44DXS3X5RYALY \
  | 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: 6516130c9d7259a6f383bcb77ec7005e3641ca38e501796a6db9653f11c1b5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6572c54c6cfbf895b9568d592a35190fb31f950fac5a163dbeb8427ecfe1ff5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-28T00:16:45Z",
    "title_canon_sha256": "432c4d35d10ad909a2e28715125a5defa9d14b859b3cc32bc35d3e09a7ab4a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08164",
    "kind": "arxiv",
    "version": 1
  }
}