Pith Number

pith:KYOKTRSO

pith:2010:KYOKTRSOBPCLKY5Q75YIJTS25K

not attested not anchored not stored refs pending

Introduction to the field theory of classical and quantum phase transitions

Flavio S. Nogueira

arxiv:1009.1603 v1 · 2010-09-08 · cond-mat.stat-mech · 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{KYOKTRSOBPCLKY5Q75YIJTS25K}

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	2026-05-18T04:41:14.403578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561ca9c64e0bc4b563b0ff7084ce5aea9dd5dd37d893c5086579eb97bb420cc0

Aliases

arxiv: 1009.1603 · arxiv_version: 1009.1603v1 · doi: 10.48550/arxiv.1009.1603 · pith_short_12: KYOKTRSOBPCL · pith_short_16: KYOKTRSOBPCLKY5Q · pith_short_8: KYOKTRSO

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/KYOKTRSOBPCLKY5Q75YIJTS25K \
  | 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: 561ca9c64e0bc4b563b0ff7084ce5aea9dd5dd37d893c5086579eb97bb420cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed818aeaeda361ef8a48a89dc3d4b69c3c83e3ae2b405243278ac3aae72e921f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-08T18:15:04Z",
    "title_canon_sha256": "86d7ad4a992ebe0f7b679c34bd738a0fb564d48e6308fceede1f4f2e23c08e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1603",
    "kind": "arxiv",
    "version": 1
  }
}