Pith Number

pith:TY4NPNFG

pith:2004:TY4NPNFGF4AQHBKWUT5P4TSNHO

not attested not anchored not stored refs pending

Massive phonon modes from a BEC-based analog model

Matt Visser, Silke Weinfurtner

arxiv:cond-mat/0409639 v2 · 2004-09-24 · cond-mat.stat-mech · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY4NPNFGF4AQHBKWUT5P4TSNHO}

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	2026-07-04T14:21:41.071749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e38d7b4a62f01038556a4fafe4e4d3bb870dde0e148989734e861aa4d45304c

Aliases

arxiv: cond-mat/0409639 · arxiv_version: cond-mat/0409639v2 · doi: 10.48550/arxiv.cond-mat/0409639 · pith_short_12: TY4NPNFGF4AQ · pith_short_16: TY4NPNFGF4AQHBKW · pith_short_8: TY4NPNFG

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/TY4NPNFGF4AQHBKWUT5P4TSNHO \
  | 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: 9e38d7b4a62f01038556a4fafe4e4d3bb870dde0e148989734e861aa4d45304c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6d50a05ac6e1e613172ed2dfa180a29c7441f638a6a0a4b9ec1c5b131cc123",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-09-24T07:36:50Z",
    "title_canon_sha256": "1ffea90a6c72ef83fe6717fad9e7bf9d4b98b439473929a467e45d162ece1469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0409639",
    "kind": "arxiv",
    "version": 2
  }
}