Pith Number

pith:ZKUZVUYQ

pith:2011:ZKUZVUYQZMG3TDSNDXT4YUV7FD

not attested not anchored not stored refs pending

Virtuous Trees at Five and Six Points for Yang-Mills and Gravity

Johannes Broedel, John Joseph M. Carrasco

arxiv:1107.4802 v1 · 2011-07-24 · 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{ZKUZVUYQZMG3TDSNDXT4YUV7FD}

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

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

Receipt and verification

First computed	2026-05-18T04:11:17.684393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa99ad310cb0db98e4d1de7cc52bf28ce04dd048bf7f864bfe885ca4d4ab5cc

Aliases

arxiv: 1107.4802 · arxiv_version: 1107.4802v1 · doi: 10.48550/arxiv.1107.4802 · pith_short_12: ZKUZVUYQZMG3 · pith_short_16: ZKUZVUYQZMG3TDSN · pith_short_8: ZKUZVUYQ

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/ZKUZVUYQZMG3TDSNDXT4YUV7FD \
  | 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: caa99ad310cb0db98e4d1de7cc52bf28ce04dd048bf7f864bfe885ca4d4ab5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1aa12caebfe261ae9b243abfe471c72d71edd61a68a87ca3d426bd871f5878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-24T21:33:41Z",
    "title_canon_sha256": "e4ee495a8c8feb4096169ae24a3c9f450c29b1fb697495c815cc86c3b829ae3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4802",
    "kind": "arxiv",
    "version": 1
  }
}