Pith Number

pith:ILEV6RO6

pith:2011:ILEV6RO6KGSVHHWMVT24UYPE5C

not attested not anchored not stored refs pending

Invariants of Spin Networks from Braided Ribbon Networks

Jonathan Hackett

arxiv:1106.5095 v1 · 2011-06-25 · math-ph · gr-qc · 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{ILEV6RO6KGSVHHWMVT24UYPE5C}

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	2026-05-18T04:19:21.399957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c95f45de51a5539eccacf5ca61e4e8bdfcc2b0a67ad9be9d3e934c9ea3a6b1

Aliases

arxiv: 1106.5095 · arxiv_version: 1106.5095v1 · doi: 10.48550/arxiv.1106.5095 · pith_short_12: ILEV6RO6KGSV · pith_short_16: ILEV6RO6KGSVHHWM · pith_short_8: ILEV6RO6

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/ILEV6RO6KGSVHHWMVT24UYPE5C \
  | 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: 42c95f45de51a5539eccacf5ca61e4e8bdfcc2b0a67ad9be9d3e934c9ea3a6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f217ac37798b107bcdc114b5486bf3a266d5382e1db9e43f928074a0571b15",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-25T02:37:48Z",
    "title_canon_sha256": "f7d1ca25a8d1864839138d7875e9864f596c3eeedecd7e68d0018db12371704d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5095",
    "kind": "arxiv",
    "version": 1
  }
}