Pith Number

pith:3DR7NUD5

pith:2013:3DR7NUD5CE6PEWRQYMWH42RT7M

not attested not anchored not stored refs pending

Melonic phase transition in group field theory

Aristide Baratin, Daniele Oriti, James P. Ryan, Matteo Smerlak, Sylvain Carrozza

arxiv:1307.5026 v2 · 2013-07-18 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DR7NUD5CE6PEWRQYMWH42RT7M}

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	2026-05-18T01:48:42.847899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e3f6d07d113cf25a30c32c7e6a33fb3724e1a87797b0a75b0c2a324f1754d1

Aliases

arxiv: 1307.5026 · arxiv_version: 1307.5026v2 · doi: 10.48550/arxiv.1307.5026 · pith_short_12: 3DR7NUD5CE6P · pith_short_16: 3DR7NUD5CE6PEWRQ · pith_short_8: 3DR7NUD5

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/3DR7NUD5CE6PEWRQYMWH42RT7M \
  | 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: d8e3f6d07d113cf25a30c32c7e6a33fb3724e1a87797b0a75b0c2a324f1754d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079c2722869d7b65c139382f1ab3d2b5959c6a7013f9c4248a1491098bd2f53a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-18T17:50:27Z",
    "title_canon_sha256": "bcf162f47aefd8bd290ec2e93f07e56f94e97155cb113469949d89b44854ce80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5026",
    "kind": "arxiv",
    "version": 2
  }
}