Pith Number

pith:CAJ7I43C

pith:2011:CAJ7I43CI5EQHQJGZFCHYRJC7X

not attested not anchored not stored refs pending

An Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition

Alexei Lozinski, Claudia Negulescu, Jacek Narski, Pierre Degond

arxiv:1102.0904 v1 · 2011-02-04 · 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{CAJ7I43CI5EQHQJGZFCHYRJC7X}

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	2026-05-18T02:54:47.490668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1013f47362474903c126c9447c4522fdfe50a59caaee92664c6499f47bc8d3bf

Aliases

arxiv: 1102.0904 · arxiv_version: 1102.0904v1 · doi: 10.48550/arxiv.1102.0904 · pith_short_12: CAJ7I43CI5EQ · pith_short_16: CAJ7I43CI5EQHQJG · pith_short_8: CAJ7I43C

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/CAJ7I43CI5EQHQJGZFCHYRJC7X \
  | 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: 1013f47362474903c126c9447c4522fdfe50a59caaee92664c6499f47bc8d3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a00ecb675ab68f773506bdf01d8f8c4415b7947fa9b266f6cf740e31432d16f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-02-04T13:20:52Z",
    "title_canon_sha256": "06bc62712644e712a4067fa32dd67577dbaf6af99972148c02d7b80ac294428e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0904",
    "kind": "arxiv",
    "version": 1
  }
}