Pith Number

pith:YQTNH2GP

pith:2013:YQTNH2GPP6ZAT5GI352FT6ZWZL

not attested not anchored not stored refs pending

Bose-Einstein Condensation on a Manifold with Nonnegative Ricci Curvature

Emine Ertugrul, Ferzan Tapramaz, Levent Akant, O. Teoman Turgut

arxiv:1306.4839 v2 · 2013-06-20 · math-ph · hep-th · 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{YQTNH2GPP6ZAT5GI352FT6ZWZL}

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	2026-05-18T02:55:20.592901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c426d3e8cf7fb209f4c8df7459fb36cad444553202d83f56b9a0ae178fea166a

Aliases

arxiv: 1306.4839 · arxiv_version: 1306.4839v2 · doi: 10.48550/arxiv.1306.4839 · pith_short_12: YQTNH2GPP6ZA · pith_short_16: YQTNH2GPP6ZAT5GI · pith_short_8: YQTNH2GP

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/YQTNH2GPP6ZAT5GI352FT6ZWZL \
  | 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: c426d3e8cf7fb209f4c8df7459fb36cad444553202d83f56b9a0ae178fea166a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd23ce2a0dd82d9eadca11cbec85058869da5594cd04f56fbf91338ef7bfcf2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-20T12:00:45Z",
    "title_canon_sha256": "420ac6350a86a5b62daa55c7d7e7bb38eae9eb42c4a0c223096c24d242091f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4839",
    "kind": "arxiv",
    "version": 2
  }
}