pith. sign in
Pith Number

pith:GRNJ6SEN

pith:2013:GRNJ6SENRPHE7ULZUHBPOENRLA
not attested not anchored not stored refs pending

Mean-field Evolution of Fermionic Systems

Benjamin Schlein, Marcello Porta, Niels Benedikter

arxiv:1305.2768 v3 · 2013-05-13 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GRNJ6SENRPHE7ULZUHBPOENRLA}

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 2026-05-18T01:50:02.885438Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

345a9f488d8bce4fd179a1c2f711b1580ce33fc934ef672e5141bcdfcbd2aff3

Aliases

arxiv: 1305.2768 · arxiv_version: 1305.2768v3 · doi: 10.48550/arxiv.1305.2768 · pith_short_12: GRNJ6SENRPHE · pith_short_16: GRNJ6SENRPHE7ULZ · pith_short_8: GRNJ6SEN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GRNJ6SENRPHE7ULZUHBPOENRLA \
  | 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: 345a9f488d8bce4fd179a1c2f711b1580ce33fc934ef672e5141bcdfcbd2aff3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "466c93e207ffd55ca7328ca8daa30f39625864a54ce216328ea1b591ed8bec86",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-13T13:13:51Z",
    "title_canon_sha256": "cd3d2eacb5aee89722088b2e95800f06000488f4b3207635e3e0c04eb7232ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2768",
    "kind": "arxiv",
    "version": 3
  }
}