Pith Number

pith:X24SABKQ

pith:2020:X24SABKQRTOBICS5AMAQJY75EK

not attested not anchored not stored refs pending

Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes

Jaroslav Trnka

arxiv:2012.15780 v1 · 2020-12-31 · 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{X24SABKQRTOBICS5AMAQJY75EK}

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

BCFW like recursion for Deformed Associahedron

Receipt and verification

First computed	2026-07-05T02:39:10.044397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb92005508cdc140a5d030104e3fd22be904f4da4d1f52ec5ba037e3646ef86

Aliases

arxiv: 2012.15780 · arxiv_version: 2012.15780v1 · doi: 10.48550/arxiv.2012.15780 · pith_short_12: X24SABKQRTOB · pith_short_16: X24SABKQRTOBICS5 · pith_short_8: X24SABKQ

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/X24SABKQRTOBICS5AMAQJY75EK \
  | 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: beb92005508cdc140a5d030104e3fd22be904f4da4d1f52ec5ba037e3646ef86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faccfe0d664c9279ac573929d15114968ec9273a56b069391df11b7dc3c2c393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-12-31T17:59:34Z",
    "title_canon_sha256": "4bf40ea17abd4185c85e991fc3a9aeaf8bf5f04fb3b6a5e9dddd7052c6af3bbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15780",
    "kind": "arxiv",
    "version": 1
  }
}