Pith Number

pith:7EE4KITK

pith:2020:7EE4KITKC7MKHZYPZ2LGVON4OK

not attested not anchored not stored refs pending

Planar binary trees in scattering amplitudes

Carlos R. Mafra

arxiv:2011.14413 v1 · 2020-11-29 · math.CO · 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{7EE4KITKC7MKHZYPZ2LGVON4OK}

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

A field-inspired derivation of open string amplitudes

Receipt and verification

First computed	2026-07-05T01:55:20.235357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f909c5226a17d8a3e70fce966ab9bc72ab49391f4117c7d661a0e74baef9edd7

Aliases

arxiv: 2011.14413 · arxiv_version: 2011.14413v1 · doi: 10.48550/arxiv.2011.14413 · pith_short_12: 7EE4KITKC7MK · pith_short_16: 7EE4KITKC7MKHZYP · pith_short_8: 7EE4KITK

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/7EE4KITKC7MKHZYPZ2LGVON4OK \
  | 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: f909c5226a17d8a3e70fce966ab9bc72ab49391f4117c7d661a0e74baef9edd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6596414892460ab089857a761661b240b681a3c2b9ab72cc90946c74747a68e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-29T18:33:05Z",
    "title_canon_sha256": "d59d46f08e0284a27ceb86ded2f9cfe19715c94ffae1117ef6fd1ff2a48bbad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14413",
    "kind": "arxiv",
    "version": 1
  }
}