Pith Number

pith:YWMRH3RU

pith:2015:YWMRH3RUAZWCAK5XFU6J4R7EVC

not attested not anchored not stored refs pending

Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus

Eric D'Hoker, Michael B. Green, Pierre Vanhove

arxiv:1509.00363 v2 · 2015-09-01 · 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{YWMRH3RUAZWCAK5XFU6J4R7EVC}

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

From Modular Graph Forms to Iterated Integrals

Receipt and verification

First computed	2026-07-05T03:48:34.163748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59913ee34066c202bb72d3c9e47e4a88742914a00b1c915ac21af3bfb9a9b2f

Aliases

arxiv: 1509.00363 · arxiv_version: 1509.00363v2 · doi: 10.48550/arxiv.1509.00363 · pith_short_12: YWMRH3RUAZWC · pith_short_16: YWMRH3RUAZWCAK5X · pith_short_8: YWMRH3RU

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/YWMRH3RUAZWCAK5XFU6J4R7EVC \
  | 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: c59913ee34066c202bb72d3c9e47e4a88742914a00b1c915ac21af3bfb9a9b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa96fc5516d1baf856562f36b03f6dcc45a28b41f8da560362c0be168aed809",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-01T15:48:58Z",
    "title_canon_sha256": "b53943b85e6515a99742bdfd0f99954e2364a99502ff4a4ad7f2e715e39b0464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00363",
    "kind": "arxiv",
    "version": 2
  }
}