Pith Number

pith:4AMMTQPC

pith:2016:4AMMTQPCOLE7RZDCAURZ4GLPX2

not attested not anchored not stored refs pending

Bender-Wu singularities

Riccardo Giachetti, Vincenzo Grecchi

arxiv:1607.00190 v1 · 2016-07-01 · quant-ph · 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{4AMMTQPCOLE7RZDCAURZ4GLPX2}

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	2026-05-18T00:49:16.743844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e018c9c1e272c9f8e46205239e196fbe85cfc82e1c569bed035d0e3ba7a99bce

Aliases

arxiv: 1607.00190 · arxiv_version: 1607.00190v1 · doi: 10.48550/arxiv.1607.00190 · pith_short_12: 4AMMTQPCOLE7 · pith_short_16: 4AMMTQPCOLE7RZDC · pith_short_8: 4AMMTQPC

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/4AMMTQPCOLE7RZDCAURZ4GLPX2 \
  | 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: e018c9c1e272c9f8e46205239e196fbe85cfc82e1c569bed035d0e3ba7a99bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabe5c56cba0f157ad813c87bb369e4fd3cc6446fef0242e18978e76c98b5d63",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-01T10:08:47Z",
    "title_canon_sha256": "5dee56e5549eb629bce2cee6b1cf715e88c45e9ecee42bbb64be660007bbf34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00190",
    "kind": "arxiv",
    "version": 1
  }
}