Pith Number

pith:L3NL2YMD

pith:2020:L3NL2YMDHSYFO7S3V2PEQCBLNZ

not attested not anchored not stored refs pending

Modular Graph Forms and Scattering Amplitudes in String Theory

Jan E. Gerken

arxiv:2011.08647 v1 · 2020-11-17 · hep-th · 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{L3NL2YMDHSYFO7S3V2PEQCBLNZ}

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

Towards Motivic Coactions at Genus One from Zeta Generators

Receipt and verification

First computed	2026-07-05T01:52:07.357336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5edabd61833cb0577e5bae9e48082b6e58a44db20e5dd7be20550fd3ef6c8b69

Aliases

arxiv: 2011.08647 · arxiv_version: 2011.08647v1 · doi: 10.48550/arxiv.2011.08647 · pith_short_12: L3NL2YMDHSYF · pith_short_16: L3NL2YMDHSYFO7S3 · pith_short_8: L3NL2YMD

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/L3NL2YMDHSYFO7S3V2PEQCBLNZ \
  | 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: 5edabd61833cb0577e5bae9e48082b6e58a44db20e5dd7be20550fd3ef6c8b69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57da8a3df5a07291fc07c30c17bdda7a488724a28d182a8837304635d4e95f96",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-11-17T14:13:06Z",
    "title_canon_sha256": "34c79adf2a9b4330bc502d0a3905bb3576ddbe08ea1362b764895a9bf15da8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.08647",
    "kind": "arxiv",
    "version": 1
  }
}