Pith Number

pith:HZIL2ZWE

pith:2026:HZIL2ZWE7V3GH2EGFJ72VXLMWA

not attested not anchored not stored refs pending

Polyakov Loops Tame Phase Transitions

Christoph Englert, Joydeep Chakrabortty, Lisa Biermann

arxiv:2607.06203 v1 · 2026-07-07 · hep-ph · cond-mat.stat-mech · hep-lat · 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{HZIL2ZWE7V3GH2EGFJ72VXLMWA}

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	2026-07-08T01:19:17.679598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e50bd66c4fd7663e8862a7faadd6cb00b3c0b02d3f15d0897f8f4af1536ec28

Aliases

arxiv: 2607.06203 · arxiv_version: 2607.06203v1 · doi: 10.48550/arxiv.2607.06203 · pith_short_12: HZIL2ZWE7V3G · pith_short_16: HZIL2ZWE7V3GH2EG · pith_short_8: HZIL2ZWE

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/HZIL2ZWE7V3GH2EGFJ72VXLMWA \
  | 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: 3e50bd66c4fd7663e8862a7faadd6cb00b3c0b02d3f15d0897f8f4af1536ec28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c52206a0e926b3810814e227d8375f98c9c80ff6b7dc7adc248d3bc5a760f3b2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-lat",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-07T12:25:50Z",
    "title_canon_sha256": "6ccdd2a1b8d3ccca65c895f4bbb1d8838a0a1f30089e39fa3f0b2b6867bcc72c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06203",
    "kind": "arxiv",
    "version": 1
  }
}