Pith Number

pith:4WQTFOBH

pith:2012:4WQTFOBHGHKS4QY3LBACJFRP5O

not attested not anchored not stored refs pending

Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model

Jaroslav Trnka, Jiri Novotny, Karol Kampf

arxiv:1212.5224 v1 · 2012-12-20 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WQTFOBHGHKS4QY3LBACJFRP5O}

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

Multipositivity Constrains the Chiral Lagrangian

Receipt and verification

First computed	2026-05-18T03:28:42.137551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a132b82731d52e431b584024962feb94473b5e5c90bc70d7b89e565d58f5c5

Aliases

arxiv: 1212.5224 · arxiv_version: 1212.5224v1 · doi: 10.48550/arxiv.1212.5224 · pith_short_12: 4WQTFOBHGHKS · pith_short_16: 4WQTFOBHGHKS4QY3 · pith_short_8: 4WQTFOBH

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/4WQTFOBHGHKS4QY3LBACJFRP5O \
  | 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: e5a132b82731d52e431b584024962feb94473b5e5c90bc70d7b89e565d58f5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0904b16c24508d92c5f6e442aa3b1f539a8faee8e9f97ebd80c3f1b3666163bc",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-20T20:24:06Z",
    "title_canon_sha256": "1a542b8fbf7a6df7c89195e77d3a104f2c9dbec474900f8d7203550545a6119b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5224",
    "kind": "arxiv",
    "version": 1
  }
}