Pith Number

pith:ITWHIFNI

pith:2011:ITWHIFNI2L5AGRZNDDR7Q252NG

not attested not anchored not stored refs pending

The algebra of local unitary invariants of identical particles

Peter Vrana

arxiv:1107.2438 v1 · 2011-07-12 · 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{ITWHIFNI2L5AGRZNDDR7Q252NG}

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	2026-05-18T04:18:23.017263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ec7415a8d2fa03472d18e3f86bba698916cfcfd66beacf495825c2cd866c80

Aliases

arxiv: 1107.2438 · arxiv_version: 1107.2438v1 · doi: 10.48550/arxiv.1107.2438 · pith_short_12: ITWHIFNI2L5A · pith_short_16: ITWHIFNI2L5AGRZN · pith_short_8: ITWHIFNI

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/ITWHIFNI2L5AGRZNDDR7Q252NG \
  | 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: 44ec7415a8d2fa03472d18e3f86bba698916cfcfd66beacf495825c2cd866c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63d270a2c6d5e8a2a38f2d5f59dcd40995fc14f652e51bf5f8b95682d9868fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-12T23:52:32Z",
    "title_canon_sha256": "b63e7dc7ce563c5bd847766d5b4438a42d0b6b9878768205f29d1fbecd614734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2438",
    "kind": "arxiv",
    "version": 1
  }
}