Pith Number

pith:Z3XJ77G7

pith:2013:Z3XJ77G7XBYZ6UVLNNM5WIUGT3

not attested not anchored not stored refs pending

The closed-string 3-loop amplitude and S-duality

Carlos R. Mafra, Humberto Gomez

arxiv:1308.6567 v3 · 2013-08-29 · 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{Z3XJ77G7XBYZ6UVLNNM5WIUGT3}

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	2026-05-18T01:47:56.807752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceee9ffcdfb8719f52ab6b59db22869ec16f2c3fa83449b0c955c63e93f01fe4

Aliases

arxiv: 1308.6567 · arxiv_version: 1308.6567v3 · doi: 10.48550/arxiv.1308.6567 · pith_short_12: Z3XJ77G7XBYZ · pith_short_16: Z3XJ77G7XBYZ6UVL · pith_short_8: Z3XJ77G7

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/Z3XJ77G7XBYZ6UVLNNM5WIUGT3 \
  | 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: ceee9ffcdfb8719f52ab6b59db22869ec16f2c3fa83449b0c955c63e93f01fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3af0da6f67e129c49815a530e72ef5e954e0baa39fa39ea3e47f84380b5460f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-08-29T19:17:31Z",
    "title_canon_sha256": "92a07269df1f4ae80b725eda7958f0bf2b391ae0a2c49c50b6991ddd15abe8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6567",
    "kind": "arxiv",
    "version": 3
  }
}