Pith Number

pith:JW4DJLBA

pith:2026:JW4DJLBAZWTRZHGM66ZYABNIOG

not attested not anchored not stored refs pending

$N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices

Gustavo Bispo, Sylvain Fichet

arxiv:2608.05285 v1 · 2026-08-05 · 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{JW4DJLBAZWTRZHGM66ZYABNIOG}

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	2026-08-07T00:46:40.709902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db834ac20cda71c9cccf7b38005a871a65fa0b13988de42847632cf281bf049

Aliases

arxiv: 2608.05285 · arxiv_version: 2608.05285v1 · doi: 10.48550/arxiv.2608.05285 · pith_short_12: JW4DJLBAZWTR · pith_short_16: JW4DJLBAZWTRZHGM · pith_short_8: JW4DJLBA

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/JW4DJLBAZWTRZHGM66ZYABNIOG \
  | 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: 4db834ac20cda71c9cccf7b38005a871a65fa0b13988de42847632cf281bf049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bea218e5b42c320e38ad84a3904258b4e9591f3d15b4bb730e83bcd5a680e16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-05T18:00:02Z",
    "title_canon_sha256": "215aa83abce0bd41febd8e90c311e891ee61ec453f20dc1a2eec37c68be3e53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05285",
    "kind": "arxiv",
    "version": 1
  }
}