Pith Number

pith:YFWYS5LQ

pith:2010:YFWYS5LQ7UBIG5LDS6ZFZYVRLT

not attested not anchored not stored refs pending

Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. I. General concept

G\"unter Wunner, J\"org Main, Stefan Rau

arxiv:1007.3180 v2 · 2010-07-19 · cond-mat.quant-gas · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFWYS5LQ7UBIG5LDS6ZFZYVRLT}

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	2026-05-18T04:42:13.501671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c16d897570fd0283756397b25ce2b15cfc99ea69c1d657702177859beac6d5d4

Aliases

arxiv: 1007.3180 · arxiv_version: 1007.3180v2 · doi: 10.48550/arxiv.1007.3180 · pith_short_12: YFWYS5LQ7UBI · pith_short_16: YFWYS5LQ7UBIG5LD · pith_short_8: YFWYS5LQ

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/YFWYS5LQ7UBIG5LDS6ZFZYVRLT \
  | 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: c16d897570fd0283756397b25ce2b15cfc99ea69c1d657702177859beac6d5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0015fca90406a1b254acb17f9f75373e6013405c652ae20cb2c06c89515f6ea",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2010-07-19T15:19:59Z",
    "title_canon_sha256": "85a2f794018e30e866c0cc989398ca1fa5d2ad981c01a6e89ff567c7c68b3d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3180",
    "kind": "arxiv",
    "version": 2
  }
}