Pith Number

pith:TM4W3O7P

pith:2019:TM4W3O7PIJBODNN7KHMZTIX4SU

not attested not anchored not stored refs pending

On the kinematic algebra for BCJ numerators beyond the MHV sector

Fei Teng, Gang Chen, Henrik Johansson, Tianheng Wang

arxiv:1906.10683 v1 · 2019-06-25 · 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{TM4W3O7PIJBODNN7KHMZTIX4SU}

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

Off-shell double copy theories in BV

Receipt and verification

First computed	2026-07-05T00:31:09.143685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b396dbbef4242e1b5bf51d999a2fc950b4ecb99a418b12c105b0899ca61f250

Aliases

arxiv: 1906.10683 · arxiv_version: 1906.10683v1 · doi: 10.48550/arxiv.1906.10683 · pith_short_12: TM4W3O7PIJBO · pith_short_16: TM4W3O7PIJBODNN7 · pith_short_8: TM4W3O7P

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/TM4W3O7PIJBODNN7KHMZTIX4SU \
  | 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: 9b396dbbef4242e1b5bf51d999a2fc950b4ecb99a418b12c105b0899ca61f250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f9895b6b370e41faebcb6be94510ff8143735cbc1fb2dac4f3d3e90e70d30a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-06-25T17:49:39Z",
    "title_canon_sha256": "d9d093fc46f4aff511335056c3328fcf8cbbf566a7bc67404a548126f28d35f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10683",
    "kind": "arxiv",
    "version": 1
  }
}