Pith Number

pith:YYD44ZYH

pith:2010:YYD44ZYHIGRWNMPZWZUKB7VFP6

not attested not anchored not stored refs pending

Phase transitions and critical behavior of black branes in canonical ensemble

J. X. Lu, Shibaji Roy, Zhiguang Xiao

arxiv:1010.2068 v2 · 2010-10-11 · 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{YYD44ZYHIGRWNMPZWZUKB7VFP6}

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	2026-05-18T04:30:25.617159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c607ce670741a366b1f9b668a0fea57f9d15865b1169319d1542c608862d5e3a

Aliases

arxiv: 1010.2068 · arxiv_version: 1010.2068v2 · doi: 10.48550/arxiv.1010.2068 · pith_short_12: YYD44ZYHIGRW · pith_short_16: YYD44ZYHIGRWNMPZ · pith_short_8: YYD44ZYH

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/YYD44ZYHIGRWNMPZWZUKB7VFP6 \
  | 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: c607ce670741a366b1f9b668a0fea57f9d15865b1169319d1542c608862d5e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c766da0774fd20f34803fb1e0cf4885296c1bab434e1d8665bef9d692710c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-11T11:37:59Z",
    "title_canon_sha256": "5919fdcf74213a31df8dc87d50b839e9bd9c3bdbbbbdf5fb92b6a3cc0e6d3f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2068",
    "kind": "arxiv",
    "version": 2
  }
}