Pith Number

pith:VWYOJWCK

pith:2015:VWYOJWCKKNKHQHMXD5RBUT2URD

not attested not anchored not stored refs pending

Higher Order Fermionic and Bosonic Operators

Chao Ding, John Ryan, Raymond Walter

arxiv:1512.07322 v3 · 2015-12-23 · math.DG · math-ph · math.CV · 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{VWYOJWCKKNKHQHMXD5RBUT2URD}

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	2026-05-18T01:08:35.620596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb0e4d84a5354781d971f621a4f5488e9b2e8f719f28096bd0b82fb19391b42

Aliases

arxiv: 1512.07322 · arxiv_version: 1512.07322v3 · doi: 10.48550/arxiv.1512.07322 · pith_short_12: VWYOJWCKKNKH · pith_short_16: VWYOJWCKKNKHQHMX · pith_short_8: VWYOJWCK

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/VWYOJWCKKNKHQHMXD5RBUT2URD \
  | 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: adb0e4d84a5354781d971f621a4f5488e9b2e8f719f28096bd0b82fb19391b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ae4bf566afcceaf1e41d9c65ca96d0125c149ac4f240f80d3cb3ed9080efc8",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-23T01:17:48Z",
    "title_canon_sha256": "29de2af59c473eb05b1bf51e0ea2d48247fc754ad1abc66c086cf6900d520699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07322",
    "kind": "arxiv",
    "version": 3
  }
}