Pith Number

pith:L4Z4FRRO

pith:2010:L4Z4FRROG5G24KPJFJZTEETL4D

not attested not anchored not stored refs pending

On the energy crisis in noncommutative CP(1) model

Lucas Sourrouille

arxiv:1001.5064 v5 · 2010-01-27 · 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{L4Z4FRROG5G24KPJFJZTEETL4D}

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	2026-05-18T04:25:39.225616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f33c2c62e374dae29e92a7332126be0ff2c9948642aed3e25225098cd89764e

Aliases

arxiv: 1001.5064 · arxiv_version: 1001.5064v5 · doi: 10.48550/arxiv.1001.5064 · pith_short_12: L4Z4FRROG5G2 · pith_short_16: L4Z4FRROG5G24KPJ · pith_short_8: L4Z4FRRO

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/L4Z4FRROG5G24KPJFJZTEETL4D \
  | 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: 5f33c2c62e374dae29e92a7332126be0ff2c9948642aed3e25225098cd89764e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea15702121a4427615249a3941f325895b18213cb34df760dd85184a337c369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-01-27T23:00:51Z",
    "title_canon_sha256": "24a5951ecb094f46576057608b539792ef95538b8f293802c4b037a9050a12cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5064",
    "kind": "arxiv",
    "version": 5
  }
}