Pith Number

pith:LW6BUCVM

pith:2019:LW6BUCVMR2FCN3CF2L6HBDGTYZ

not attested not anchored not stored refs pending

Loop Amplitudes and Quantum Homotopy Algebras

Branislav Jurco, Christian Saemann, Martin Wolf, Tommaso Macrelli

arxiv:1912.06695 v2 · 2019-12-13 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW6BUCVMR2FCN3CF2L6HBDGTYZ}

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	2026-07-05T01:16:11.121871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbc1a0aac8e8a26ec45d2fc708cd3c6699952c67f058b339073d7e065555e3f

Aliases

arxiv: 1912.06695 · arxiv_version: 1912.06695v2 · doi: 10.48550/arxiv.1912.06695 · pith_short_12: LW6BUCVMR2FC · pith_short_16: LW6BUCVMR2FCN3CF · pith_short_8: LW6BUCVM

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/LW6BUCVMR2FCN3CF2L6HBDGTYZ \
  | 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: 5dbc1a0aac8e8a26ec45d2fc708cd3c6699952c67f058b339073d7e065555e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37cdc93539d1d7fed9c9f694ee4b70e9e232672d875aaa217f3575401913bf76",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-13T20:34:43Z",
    "title_canon_sha256": "32510d16d8e051bd390d27f57172942fda390f068b23de4168f5200f7ce0d013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06695",
    "kind": "arxiv",
    "version": 2
  }
}