Pith Number

pith:G47U7Q6B

pith:2016:G47U7Q6BP37CQGIICCFVDU2BJE

not attested not anchored not stored refs pending

Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems

Runchang Lin, Shaohong Du, Zhimin Zhang

arxiv:1609.04506 v1 · 2016-09-15 · 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{G47U7Q6BP37CQGIICCFVDU2BJE}

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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	2026-05-18T01:04:36.515469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

373f4fc3c17efe281908108b51d3414908714cc03daccf816e736fb4d5b1537c

Aliases

arxiv: 1609.04506 · arxiv_version: 1609.04506v1 · doi: 10.48550/arxiv.1609.04506 · pith_short_12: G47U7Q6BP37C · pith_short_16: G47U7Q6BP37CQGII · pith_short_8: G47U7Q6B

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/G47U7Q6BP37CQGIICCFVDU2BJE \
  | 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: 373f4fc3c17efe281908108b51d3414908714cc03daccf816e736fb4d5b1537c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251d73362a54f195ac8e0c08ef7f9d44deb6bc735090ea0f67112bbfb4b88e42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-15T04:34:14Z",
    "title_canon_sha256": "186cb791bf104568d23e561994050d92d9625c8f7c254ab3020f4eab648df71c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04506",
    "kind": "arxiv",
    "version": 1
  }
}