Pith. sign in
Pith Number

pith:BG53GRMA

pith:2010:BG53GRMAIG27M46LQ3BXPZ5BVA
not attested not anchored not stored refs pending

On tree amplitudes with gluons coupled to gravitons

Bo Feng, Yi-Jian Du, Yi-Xin Chen

arxiv:1011.1953 v2 · 2010-11-09 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BG53GRMAIG27M46LQ3BXPZ5BVA}

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 2026-05-18T04:30:47.436127Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

09bbb3458041b5f673cb86c377e7a1a80e1d9dac244fe95c2e682253b6523b74

Aliases

arxiv: 1011.1953 · arxiv_version: 1011.1953v2 · doi: 10.48550/arxiv.1011.1953 · pith_short_12: BG53GRMAIG27 · pith_short_16: BG53GRMAIG27M46L · pith_short_8: BG53GRMA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BG53GRMAIG27M46LQ3BXPZ5BVA \
  | 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: 09bbb3458041b5f673cb86c377e7a1a80e1d9dac244fe95c2e682253b6523b74
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "770e506781cd3e627e64943c81cc53ec32e707ed7d912bb2a3c4042022c46c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-09T01:32:24Z",
    "title_canon_sha256": "9f042d0dd72f3d0b3fb8cc0c3e30e90986da4f0b1ef13e56081bbef539eff28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1953",
    "kind": "arxiv",
    "version": 2
  }
}