Pith Number

pith:CJSK2LUA

pith:2017:CJSK2LUAEUVN3R3JRUIESTU4E7

not attested not anchored not stored refs pending

D-dependence of gap between critical temperatures in one-dimensional gauge theories

Shingo Takeuchi

arxiv:1712.09261 v7 · 2017-12-26 · 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{CJSK2LUAEUVN3R3JRUIESTU4E7}

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	2026-05-17T23:41:37.261118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1264ad2e80252addc7698d10494e9c27e945ef33fcb87c00675923a439b7fda9

Aliases

arxiv: 1712.09261 · arxiv_version: 1712.09261v7 · doi: 10.48550/arxiv.1712.09261 · pith_short_12: CJSK2LUAEUVN · pith_short_16: CJSK2LUAEUVN3R3J · pith_short_8: CJSK2LUA

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/CJSK2LUAEUVN3R3JRUIESTU4E7 \
  | 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: 1264ad2e80252addc7698d10494e9c27e945ef33fcb87c00675923a439b7fda9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e9598dbd8e5031c728ea2eae0c712f13ff62fac59d909d63729d4f49f24e68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-12-26T13:07:29Z",
    "title_canon_sha256": "0aadd65f26ff3f39fabced84c2f2668c70041fd2aece506822750a5f0c430912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09261",
    "kind": "arxiv",
    "version": 7
  }
}