Pith Number

pith:WDJJTDWB

pith:2011:WDJJTDWBNACJ3J6T24YDAX3FDS

not attested not anchored not stored refs pending

Phase Transition in Dually Weighted Colored Tensor Models

Dario Benedetti, Razvan Gurau

arxiv:1108.5389 v2 · 2011-08-26 · hep-th · gr-qc · 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{WDJJTDWBNACJ3J6T24YDAX3FDS}

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	2026-05-18T04:05:14.851363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d2998ec168049da7d3d730305f651cb0e8fb05d65d19bb242e9cacb58f42af

Aliases

arxiv: 1108.5389 · arxiv_version: 1108.5389v2 · doi: 10.48550/arxiv.1108.5389 · pith_short_12: WDJJTDWBNACJ · pith_short_16: WDJJTDWBNACJ3J6T · pith_short_8: WDJJTDWB

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/WDJJTDWBNACJ3J6T24YDAX3FDS \
  | 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: b0d2998ec168049da7d3d730305f651cb0e8fb05d65d19bb242e9cacb58f42af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164a1499427b78cd99ba5af040cf5fe421d9d474b742677e07fba7e36a9c8a48",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-26T20:04:31Z",
    "title_canon_sha256": "419b1d75743a4df139ba38ab3e6f12f24d29fd561cef0816f5b3901197efe36c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5389",
    "kind": "arxiv",
    "version": 2
  }
}