Pith Number

pith:AF4I7IA5

pith:2008:AF4I7IA537PO4OVZXHIYXAZSXO

not attested not anchored not stored refs pending

Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential

Benjamin Schlein, Horng-Tzer Yau, Laszlo Erdos

arxiv:0802.3877 v3 · 2008-02-26 · math-ph · math.AP · 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{AF4I7IA537PO4OVZXHIYXAZSXO}

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	2026-05-18T02:16:00.833579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01788fa01ddfdeee3ab9b9d18b8332bb905c93fd0e4dfef151c48c548954f8dd

Aliases

arxiv: 0802.3877 · arxiv_version: 0802.3877v3 · doi: 10.48550/arxiv.0802.3877 · pith_short_12: AF4I7IA537PO · pith_short_16: AF4I7IA537PO4OVZ · pith_short_8: AF4I7IA5

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/AF4I7IA537PO4OVZXHIYXAZSXO \
  | 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: 01788fa01ddfdeee3ab9b9d18b8332bb905c93fd0e4dfef151c48c548954f8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643f821e9b818f9d4c5f1cd2f1430af17aee5ad5f1e5b75f34bd2eebb6dca053",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-02-26T19:11:50Z",
    "title_canon_sha256": "99527f300fcf591772d8b7d88a585a59ce1336aebd156ad0bd4f7090d5b23a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3877",
    "kind": "arxiv",
    "version": 3
  }
}