Pith Number

pith:WPV677GE

pith:2018:WPV677GELHYVEHIDUZ6Q2AUBS5

not attested not anchored not stored refs pending

Phase transitions in group field theory: The Landau perspective

Andreas G. A. Pithis, Johannes Th\"urigen

arxiv:1808.09765 v2 · 2018-08-29 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPV677GELHYVEHIDUZ6Q2AUBS5}

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	2026-05-17T23:58:22.814581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ebeffcc459f1521d03a67d0d0281976dbd517f9784dc1f140e4b4a0cb98e56

Aliases

arxiv: 1808.09765 · arxiv_version: 1808.09765v2 · doi: 10.48550/arxiv.1808.09765 · pith_short_12: WPV677GELHYV · pith_short_16: WPV677GELHYVEHID · pith_short_8: WPV677GE

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/WPV677GELHYVEHIDUZ6Q2AUBS5 \
  | 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: b3ebeffcc459f1521d03a67d0d0281976dbd517f9784dc1f140e4b4a0cb98e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c6323256f24cb0e17342142f1ba39c9108d21378d62f3b370beb9cd7ee0362",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-08-29T12:40:57Z",
    "title_canon_sha256": "2b74a08c43df363e0464668ca84b4209eddad1dc21c7468c2cc3324d9ac6e8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09765",
    "kind": "arxiv",
    "version": 2
  }
}