Pith Number

pith:2NORQU5S

pith:2012:2NORQU5SYY3WH7LBKKKK3YFBXK

not attested not anchored not stored refs pending

Second- and First-Order Phase Transitions in CDT

J. Ambjorn, J. Jurkiewicz, R. Loll, S. Jordan

arxiv:1205.1229 v1 · 2012-05-06 · hep-th · gr-qc · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NORQU5SYY3WH7LBKKKK3YFBXK}

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	2026-05-18T03:52:52.784836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35d1853b2c63763fd615294ade0a1baa858712a3d539fdc749ffb4381043fe0

Aliases

arxiv: 1205.1229 · arxiv_version: 1205.1229v1 · doi: 10.48550/arxiv.1205.1229 · pith_short_12: 2NORQU5SYY3W · pith_short_16: 2NORQU5SYY3WH7LB · pith_short_8: 2NORQU5S

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/2NORQU5SYY3WH7LBKKKK3YFBXK \
  | 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: d35d1853b2c63763fd615294ade0a1baa858712a3d539fdc749ffb4381043fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1209a0842096ac3db184056c05b34d6165ee5937df5103d3562c3880806904d4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-06T15:57:36Z",
    "title_canon_sha256": "29328a815c8a68e7ceea007e1435b381ac8264fb48b2b18860531e8ea26fd990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1229",
    "kind": "arxiv",
    "version": 1
  }
}