Pith Number

pith:2NAXLIG2

pith:2011:2NAXLIG2PAWKR7UBOYSG5FY3SV

not attested not anchored not stored refs pending

Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates

Andrew Briggs, Carlos R. Ordonez, Horacio E. Camblong

arxiv:1109.5846 v2 · 2011-09-27 · 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{2NAXLIG2PAWKR7UBOYSG5FY3SV}

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	2026-05-18T03:19:13.490807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34175a0da782ca8fe8176246e971b9579374383bfd81fe2a2a7689ab0fd7455

Aliases

arxiv: 1109.5846 · arxiv_version: 1109.5846v2 · doi: 10.48550/arxiv.1109.5846 · pith_short_12: 2NAXLIG2PAWK · pith_short_16: 2NAXLIG2PAWKR7UB · pith_short_8: 2NAXLIG2

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/2NAXLIG2PAWKR7UBOYSG5FY3SV \
  | 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: d34175a0da782ca8fe8176246e971b9579374383bfd81fe2a2a7689ab0fd7455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada54c59f025c85489fc2a384e846b59cb01779777572dee3a68a2c721bdd0f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-27T11:58:14Z",
    "title_canon_sha256": "654712fbb6ee3b4d6bdcc0251157337a9fb5dcd8e7626256258ee221edf174c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5846",
    "kind": "arxiv",
    "version": 2
  }
}