Pith Number

pith:CJR7SVEX

pith:2011:CJR7SVEX3VJLW63BXBQWFDWUKQ

not attested not anchored not stored refs pending

Expanded mixed multiscale finite element methods and their applications for flows in porous media

Dylan Copeland, J. David Moulton, Lijian Jiang

arxiv:1105.2061 v2 · 2011-05-10 · 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{CJR7SVEX3VJLW63BXBQWFDWUKQ}

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	2026-05-18T03:55:21.666813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1263f95497dd52bb7b61b861628ed45423818b8919625555a08dd3d6b87fae19

Aliases

arxiv: 1105.2061 · arxiv_version: 1105.2061v2 · doi: 10.48550/arxiv.1105.2061 · pith_short_12: CJR7SVEX3VJL · pith_short_16: CJR7SVEX3VJLW63B · pith_short_8: CJR7SVEX

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/CJR7SVEX3VJLW63BXBQWFDWUKQ \
  | 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: 1263f95497dd52bb7b61b861628ed45423818b8919625555a08dd3d6b87fae19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea59bb1d8a84bc194a458b7a47ed55cf8cb203f9c0663039cba248925cf87d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-05-10T21:53:17Z",
    "title_canon_sha256": "b2960b33cc24d7080c2df2fd66261f9f9b03f53c3d1a40ebee1f6ca66ef219b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2061",
    "kind": "arxiv",
    "version": 2
  }
}