Pith Number

pith:PTBGY44P

pith:2018:PTBGY44PD7WBCV23ZE6KRETI4S

not attested not anchored not stored refs pending

Modular and holomorphic graph function from superstring amplitudes

Federico Zerbini

arxiv:1807.04506 v1 · 2018-07-12 · math-ph · hep-th · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTBGY44PD7WBCV23ZE6KRETI4S}

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	2026-05-18T00:10:53.256445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc26c738f1fec11575bc93ca89268e48ea04589bfcd17b7ee8e1c5a56d0b9a0

Aliases

arxiv: 1807.04506 · arxiv_version: 1807.04506v1 · doi: 10.48550/arxiv.1807.04506 · pith_short_12: PTBGY44PD7WB · pith_short_16: PTBGY44PD7WBCV23 · pith_short_8: PTBGY44P

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/PTBGY44PD7WBCV23ZE6KRETI4S \
  | 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: 7cc26c738f1fec11575bc93ca89268e48ea04589bfcd17b7ee8e1c5a56d0b9a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc283d0d62496d02a94790271cecba637bdaec22cbe384dc0a9ad659bc9d311b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-12T10:11:48Z",
    "title_canon_sha256": "8ed39160a57d145888b9be1a8dbbb326cbb8fbd9f9675ceaa6110dcc9bc2010b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04506",
    "kind": "arxiv",
    "version": 1
  }
}