Pith Number

pith:3X6XQDIL

pith:2020:3X6XQDIL7Q3AZTYHK5OI6NWQU5

not attested not anchored not stored refs pending

Phonon redshift and Hubble friction in an expanding BEC

Stephen Eckel, Ted Jacobson

arxiv:2009.04512 v4 · 2020-09-09 · cond-mat.quant-gas · gr-qc · hep-th · physics.atom-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{3X6XQDIL7Q3AZTYHK5OI6NWQU5}

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	2026-07-05T02:22:37.974036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfd780d0bfc360ccf07575c8f36d0a75dafd53c345184fee116babc67d41e19

Aliases

arxiv: 2009.04512 · arxiv_version: 2009.04512v4 · doi: 10.48550/arxiv.2009.04512 · pith_short_12: 3X6XQDIL7Q3A · pith_short_16: 3X6XQDIL7Q3AZTYH · pith_short_8: 3X6XQDIL

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/3X6XQDIL7Q3AZTYHK5OI6NWQU5 \
  | 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: ddfd780d0bfc360ccf07575c8f36d0a75dafd53c345184fee116babc67d41e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52024c3e6ffd0342a00a48775a77f1fc82d60a0cc4c9cf0607e3e283b5f19ec9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2020-09-09T18:49:40Z",
    "title_canon_sha256": "0d35a2ce38a939571aaa3756459c02337223fe55798d0a18e815b0322d4726b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04512",
    "kind": "arxiv",
    "version": 4
  }
}