Pith Number

pith:JC3WRC3E

pith:2014:JC3WRC3EUVRN32HUCI6RYDWI5H

not attested not anchored not stored refs pending

Collective excitations of Bose gases in the mean-field regime

Phan Th\`anh Nam, Robert Seiringer

arxiv:1402.1153 v2 · 2014-02-05 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JC3WRC3EUVRN32HUCI6RYDWI5H}

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	2026-05-18T02:03:52.950707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b7688b64a562dde8f4123d1c0ec8e9dcbbab5750f6012c256cef636260503b

Aliases

arxiv: 1402.1153 · arxiv_version: 1402.1153v2 · doi: 10.48550/arxiv.1402.1153 · pith_short_12: JC3WRC3EUVRN · pith_short_16: JC3WRC3EUVRN32HU · pith_short_8: JC3WRC3E

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/JC3WRC3EUVRN32HUCI6RYDWI5H \
  | 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: 48b7688b64a562dde8f4123d1c0ec8e9dcbbab5750f6012c256cef636260503b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc48c693d8118689352e3c25bb253aaf34b61c17252d3e10e2e7247023e5a3b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-05T20:27:21Z",
    "title_canon_sha256": "a683569ddaf050c78b230d68f52d72c6432ded3958e043d3c75b9b1e145a4bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1153",
    "kind": "arxiv",
    "version": 2
  }
}