Pith Number

pith:DXNWUH7D

pith:2012:DXNWUH7DH5P757HJ246VIFOS7N

not attested not anchored not stored refs pending

Unconditionally optimal error estimates of a Crank--Nicolson Galerkin method for the nonlinear thermistor equations

Buyang Li, Weiwei Sun

arxiv:1211.1809 v1 · 2012-11-08 · 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{DXNWUH7DH5P757HJ246VIFOS7N}

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	2026-05-18T03:41:13.410796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ddb6a1fe33f5ffefce9d73d5415d2fb77aad8eda803b615b0bda248c97ebc73

Aliases

arxiv: 1211.1809 · arxiv_version: 1211.1809v1 · doi: 10.48550/arxiv.1211.1809 · pith_short_12: DXNWUH7DH5P7 · pith_short_16: DXNWUH7DH5P757HJ · pith_short_8: DXNWUH7D

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/DXNWUH7DH5P757HJ246VIFOS7N \
  | 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: 1ddb6a1fe33f5ffefce9d73d5415d2fb77aad8eda803b615b0bda248c97ebc73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a0fcab27848effd4dd7ddb84cfb6202256d5ac3697700ea1c3ed95f915d2c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-08T10:01:11Z",
    "title_canon_sha256": "236fbd9300d8661e3c7cb565dfa07b201b7e9c0e91fab18ad482be539f810086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1809",
    "kind": "arxiv",
    "version": 1
  }
}