Pith Number

pith:7OIJN53C

pith:2019:7OIJN53CAEOVCODVRMEVKIQ4JQ

not attested not anchored not stored refs pending

Unified web for expansions of amplitudes

Kang Zhou

arxiv:1908.10272 v1 · 2019-08-27 · 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{7OIJN53CAEOVCODVRMEVKIQ4JQ}

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

4 papers in Pith

Multi-trace YMS amplitudes from soft behavior

Note on hidden zeros and expansions of tree-level amplitudes

$2$-split from Feynman diagrams and Expansions

Hidden zeros for higher-derivative YM and GR amplitudes at tree-level

Receipt and verification

First computed	2026-07-05T00:20:54.843264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9096f762011d5138758b0955221c4c2f0a6d9b05cfe16f30be5372406a305a

Aliases

arxiv: 1908.10272 · arxiv_version: 1908.10272v1 · doi: 10.48550/arxiv.1908.10272 · pith_short_12: 7OIJN53CAEOV · pith_short_16: 7OIJN53CAEOVCODV · pith_short_8: 7OIJN53C

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/7OIJN53CAEOVCODVRMEVKIQ4JQ \
  | 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: fb9096f762011d5138758b0955221c4c2f0a6d9b05cfe16f30be5372406a305a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054b044621d8e9dec4bc0140f6380dad1219131630ae62879b38475c1806e89d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-27T15:28:48Z",
    "title_canon_sha256": "7067bdb500bf0a05c3013cf16b76a1a93f65c803060b3e38ea65f363c586293b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10272",
    "kind": "arxiv",
    "version": 1
  }
}