Pith Number

pith:MUPTHYQH

pith:2013:MUPTHYQHQMQQOA5F3IC7B4VQKG

not attested not anchored not stored refs pending

New residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equations

Shaohong Du, Xiaoping Xie

arxiv:1312.6455 v1 · 2013-12-23 · 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{MUPTHYQHQMQQOA5F3IC7B4VQKG}

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	2026-05-18T02:20:29.046492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651f33e20783210703a5da05f0f2b051873d1b67cbf3e847bd10f9754194fc4d

Aliases

arxiv: 1312.6455 · arxiv_version: 1312.6455v1 · doi: 10.48550/arxiv.1312.6455 · pith_short_12: MUPTHYQHQMQQ · pith_short_16: MUPTHYQHQMQQOA5F · pith_short_8: MUPTHYQH

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/MUPTHYQHQMQQOA5F3IC7B4VQKG \
  | 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: 651f33e20783210703a5da05f0f2b051873d1b67cbf3e847bd10f9754194fc4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03829a583de7a391618ac468fb7a9ba32f7992dcfb9001426d426e86195b1c95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-23T02:47:15Z",
    "title_canon_sha256": "01cff69921fe332e8084536ce787a1a2772b9f4fdc0f06fd37822598edf54423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6455",
    "kind": "arxiv",
    "version": 1
  }
}