Pith Number

pith:7BOL2GUN

pith:2011:7BOL2GUNUZGITT6ZWDFJBQ23LA

not attested not anchored not stored refs pending

The propagator of the attractive delta-Bose gas in one dimension

Herbert Spohn, Sylvain Prolhac

arxiv:1109.3404 v3 · 2011-09-15 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BOL2GUNUZGITT6ZWDFJBQ23LA}

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	2026-05-18T04:05:14.826352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85cbd1a8da64c89cfd9b0ca90c35b581576f5f796661612ccf78e78a06256fd

Aliases

arxiv: 1109.3404 · arxiv_version: 1109.3404v3 · doi: 10.48550/arxiv.1109.3404 · pith_short_12: 7BOL2GUNUZGI · pith_short_16: 7BOL2GUNUZGITT6Z · pith_short_8: 7BOL2GUN

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/7BOL2GUNUZGITT6ZWDFJBQ23LA \
  | 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: f85cbd1a8da64c89cfd9b0ca90c35b581576f5f796661612ccf78e78a06256fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4625db39cdad4d5e8beeb3d8208ebbe5df41fb37a7655d9de2f11e453a4c09c8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-15T17:14:23Z",
    "title_canon_sha256": "3c46a1ff592eded45ec799abac54b8df5c988e19b5ffee241fc79e4fb27f3411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3404",
    "kind": "arxiv",
    "version": 3
  }
}