Pith Number

pith:3G5UQZEI

pith:2009:3G5UQZEINRCWH7QCET2OA6PGBA

not attested not anchored not stored refs pending

Exact density oscillations in the Tonks-Girardeau gas and their optical detection

Attila Czirjak, Csaba Benedek, Mihaly G. Benedict

arxiv:0907.2217 v1 · 2009-07-13 · quant-ph · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3G5UQZEINRCWH7QCET2OA6PGBA}

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	2026-05-18T01:17:21.411394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9bb4864886c4563fe0224f4e079e6080563912c26fde8ea35008b4d0268d912

Aliases

arxiv: 0907.2217 · arxiv_version: 0907.2217v1 · doi: 10.48550/arxiv.0907.2217 · pith_short_12: 3G5UQZEINRCW · pith_short_16: 3G5UQZEINRCWH7QC · pith_short_8: 3G5UQZEI

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/3G5UQZEINRCWH7QCET2OA6PGBA \
  | 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: d9bb4864886c4563fe0224f4e079e6080563912c26fde8ea35008b4d0268d912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22317424f91471bcbbc1d3a0dbce9fe053a4b8e84632198ebb4bf3507c61d46a",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-07-13T17:26:37Z",
    "title_canon_sha256": "32ac0ef703029dd38f6fd37163f015092622f003114d85cf3b09c18f47e70abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2217",
    "kind": "arxiv",
    "version": 1
  }
}