Pith Number

pith:D3WBLAFX

pith:2019:D3WBLAFXGBPG77CMD4PYXDA24N

not attested not anchored not stored refs pending

Singular Solutions in Soft Limits

Bruno Umbert, Freddy Cachazo, Yong Zhang

arxiv:1911.02594 v2 · 2019-11-06 · hep-th · math-ph · math.CO · 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{D3WBLAFXGBPG77CMD4PYXDA24N}

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	2026-07-05T01:12:27.127132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eec1580b7305e6ffc4c1f1f8b8c1ae378b52d3a218dd8b8be0b5639adbcc90a

Aliases

arxiv: 1911.02594 · arxiv_version: 1911.02594v2 · doi: 10.48550/arxiv.1911.02594 · pith_short_12: D3WBLAFXGBPG · pith_short_16: D3WBLAFXGBPG77CM · pith_short_8: D3WBLAFX

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/D3WBLAFXGBPG77CMD4PYXDA24N \
  | 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: 1eec1580b7305e6ffc4c1f1f8b8c1ae378b52d3a218dd8b8be0b5639adbcc90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ba0e5a163276f5ce1f45f9bc3ab21255330dfb0fa5621208aeaf6292d18299",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-11-06T19:09:46Z",
    "title_canon_sha256": "143208f6914226b0f6006207eb8100fd45ac73c7641c2c37de37340492d8e275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02594",
    "kind": "arxiv",
    "version": 2
  }
}