Pith Number

pith:PSFJDFRD

pith:2000:PSFJDFRD7B5RBUH4DBWSMA66O4

not attested not anchored not stored refs pending

Quantum Phase Transitions and the Breakdown of Classical General Relativity

D. I. Santiago (Stanford University), E. Hohlfeld, G. Chapline (Los Alamos), R. B. Laughlin

arxiv:gr-qc/0012094 v1 · 2000-12-25 · gr-qc · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSFJDFRD7B5RBUH4DBWSMA66O4}

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.

Cited by

1 paper in Pith

Energy conditions in static, spherically symmetric spacetimes and effective geometries

Receipt and verification

First computed	2026-07-04T16:19:44.470512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8a919623f87b10d0fc186d2603de7705f0c01cef3bd697c8fd6d46e237d6a2

Aliases

arxiv: gr-qc/0012094 · arxiv_version: gr-qc/0012094v1 · doi: 10.48550/arxiv.gr-qc/0012094 · pith_short_12: PSFJDFRD7B5R · pith_short_16: PSFJDFRD7B5RBUH4 · pith_short_8: PSFJDFRD

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/PSFJDFRD7B5RBUH4DBWSMA66O4 \
  | 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: 7c8a919623f87b10d0fc186d2603de7705f0c01cef3bd697c8fd6d46e237d6a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63e11b1d05e1e7c00d7848eba81a6e1d973508930be9585587318731b44de66",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-25T19:32:07Z",
    "title_canon_sha256": "d5e4effcb8dbd60876607db79096acb4e9f8161b378d141e44235a4988d11707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012094",
    "kind": "arxiv",
    "version": 1
  }
}