Pith Number

pith:PZYIFQBB

pith:2015:PZYIFQBB2XJGS7VVZJHCS5SQFN

not attested not anchored not stored refs pending

Numerical method based on Galerkin approximation for the fractional advection-dispersion equation

Harendra Singh, Manas Ranjan Sahoo, Om Prakash Singh

arxiv:1504.08178 v1 · 2015-04-30 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZYIFQBB2XJGS7VVZJHCS5SQFN}

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	2026-05-18T02:17:23.120702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7082c021d5d2697eb5ca4e2976502b68a13f6d630e9007e63c157709f22b5d

Aliases

arxiv: 1504.08178 · arxiv_version: 1504.08178v1 · doi: 10.48550/arxiv.1504.08178 · pith_short_12: PZYIFQBB2XJG · pith_short_16: PZYIFQBB2XJGS7VV · pith_short_8: PZYIFQBB

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/PZYIFQBB2XJGS7VVZJHCS5SQFN \
  | 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: 7e7082c021d5d2697eb5ca4e2976502b68a13f6d630e9007e63c157709f22b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc5f6e9a49147f74b2c4bb9b7ef36ed59e24ad1d75111dfd9d1144f5f83b3ed",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-04-30T11:52:50Z",
    "title_canon_sha256": "2d3027d396d530d8301c23232185604373aedae00753e9a34fc57d2e76c84d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08178",
    "kind": "arxiv",
    "version": 1
  }
}