Pith Number

pith:F6DSFGVD

pith:2013:F6DSFGVDMZ3KLVOGZIBTFY5SIM

not attested not anchored not stored refs pending

Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy

Jingwei Hu, Lorenzo Pareschi, Qin Li

arxiv:1310.7658 v1 · 2013-10-29 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6DSFGVDMZ3KLVOGZIBTFY5SIM}

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	2026-05-18T03:08:35.636515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f87229aa36676a5d5c6ca0332e3b2431db7b7019715e86a15f05acd61aff8b8

Aliases

arxiv: 1310.7658 · arxiv_version: 1310.7658v1 · doi: 10.48550/arxiv.1310.7658 · pith_short_12: F6DSFGVDMZ3K · pith_short_16: F6DSFGVDMZ3KLVOG · pith_short_8: F6DSFGVD

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/F6DSFGVDMZ3KLVOGZIBTFY5SIM \
  | 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: 2f87229aa36676a5d5c6ca0332e3b2431db7b7019715e86a15f05acd61aff8b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64f062145c37a170fcbdba073751579148fa1f661ba42bff490260322e1ab8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-29T01:11:28Z",
    "title_canon_sha256": "5a22906abb46030421b46bf216461c1d2eb6348761012932b5d7ca116214dc40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7658",
    "kind": "arxiv",
    "version": 1
  }
}