Pith Number

pith:R6FDVBRQ

pith:2013:R6FDVBRQVSPFOF5G2NXO6QCAHE

not attested not anchored not stored refs pending

Spurious Modes in Dirac Calculations and How to Avoid Them

Eric S\'er\'e, Mathieu Lewin

arxiv:1306.5401 v2 · 2013-06-23 · math-ph · math.MP · math.NA · physics.atom-ph · quant-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{R6FDVBRQVSPFOF5G2NXO6QCAHE}

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	2026-05-18T00:30:09.799495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8a3a8630ac9e5717a6d36eef404039344be616e27109687fbe01fe629cd931

Aliases

arxiv: 1306.5401 · arxiv_version: 1306.5401v2 · doi: 10.48550/arxiv.1306.5401 · pith_short_12: R6FDVBRQVSPF · pith_short_16: R6FDVBRQVSPFOF5G · pith_short_8: R6FDVBRQ

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/R6FDVBRQVSPFOF5G2NXO6QCAHE \
  | 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: 8f8a3a8630ac9e5717a6d36eef404039344be616e27109687fbe01fe629cd931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5f09d902882942c9b4d668c2900c46e380e2a612e626b0d513eef821019600",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA",
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-23T13:21:15Z",
    "title_canon_sha256": "aa0d0bffaf0b0fea2aaedf6e3bcb1e4f33fb89dcd6cbf16e2976425a85a23016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5401",
    "kind": "arxiv",
    "version": 2
  }
}