Pith Number

pith:OHPJTYTQ

pith:2009:OHPJTYTQWVE7JKGOUUAWBAELMH

not attested not anchored not stored refs pending

Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium

Igor Rodnianski, Thomas Chen

arxiv:0910.2786 v3 · 2009-10-15 · 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{OHPJTYTQWVE7JKGOUUAWBAELMH}

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	2026-05-18T02:24:46.794547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71de99e270b549f4a8cea50160808b61e9747cc3b251ee888f499684f0125314

Aliases

arxiv: 0910.2786 · arxiv_version: 0910.2786v3 · doi: 10.48550/arxiv.0910.2786 · pith_short_12: OHPJTYTQWVE7 · pith_short_16: OHPJTYTQWVE7JKGO · pith_short_8: OHPJTYTQ

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/OHPJTYTQWVE7JKGOUUAWBAELMH \
  | 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: 71de99e270b549f4a8cea50160808b61e9747cc3b251ee888f499684f0125314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698dead31ccae02545c46ff0a8d2c52ef05dd02659a35ca62878ee115554bff9",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-15T06:41:44Z",
    "title_canon_sha256": "f31c8007e5f96ff5c7245f118b46131800c20958d29f3fb49876eb10ecdd5c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2786",
    "kind": "arxiv",
    "version": 3
  }
}