Pith Number

pith:4FQDJW6T

pith:2014:4FQDJW6TIYVKM7USP7R7H4CTUZ

not attested not anchored not stored refs pending

Compact Formulas for the Completed Mock Modular Forms

Tohru Eguchi, Yuji Sugawara

arxiv:1407.7721 v2 · 2014-07-29 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FQDJW6TIYVKM7USP7R7H4CTUZ}

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	2026-05-18T01:42:28.856839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e16034dbd3462aa67e927fe3f3f053a6737cd3e6163c610c6d73427b53ea104f

Aliases

arxiv: 1407.7721 · arxiv_version: 1407.7721v2 · doi: 10.48550/arxiv.1407.7721 · pith_short_12: 4FQDJW6TIYVK · pith_short_16: 4FQDJW6TIYVKM7US · pith_short_8: 4FQDJW6T

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/4FQDJW6TIYVKM7USP7R7H4CTUZ \
  | 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: e16034dbd3462aa67e927fe3f3f053a6737cd3e6163c610c6d73427b53ea104f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42633ab86c2ce168d1b7567b77155b3a4d0a38e65ddf0c087ed2204b60dd83fe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-07-29T13:32:38Z",
    "title_canon_sha256": "7338e8a1d62bf4e520b4c7f75a24d10f55035c5afda56e92d86ab4efaf9edfba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7721",
    "kind": "arxiv",
    "version": 2
  }
}