Pith Number

pith:4ATDTRU3

pith:2013:4ATDTRU3MQ2Z3GFVQVRYB27YPE

not attested not anchored not stored refs pending

Convergence analysis of a fractional time-stepping technique for incompressible fluids with microstructure

Abner J. Salgado

arxiv:1312.1389 v1 · 2013-12-04 · 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{4ATDTRU3MQ2Z3GFVQVRYB27YPE}

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	2026-05-18T03:05:27.452241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02639c69b64359d98b5856380ebf8790003e226c8692a0c69e45d09e010ccd5

Aliases

arxiv: 1312.1389 · arxiv_version: 1312.1389v1 · doi: 10.48550/arxiv.1312.1389 · pith_short_12: 4ATDTRU3MQ2Z · pith_short_16: 4ATDTRU3MQ2Z3GFV · pith_short_8: 4ATDTRU3

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/4ATDTRU3MQ2Z3GFVQVRYB27YPE \
  | 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: e02639c69b64359d98b5856380ebf8790003e226c8692a0c69e45d09e010ccd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b01cafca8448d798a06c4d02df6516c225bce39d7433738681dcbc282739bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-04T23:51:38Z",
    "title_canon_sha256": "ef91cd83cc23364e25382453767dbbe979a2919c1506f05b9e4db46322417b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1389",
    "kind": "arxiv",
    "version": 1
  }
}