Pith Number

pith:UTMPRDFU

pith:2013:UTMPRDFUWDBZXZTH7COW5UNTWI

not attested not anchored not stored refs pending

Convergence of adaptive mixed finite element method for convection-diffusion-reaction equations

Shaohong Du, Xiaoping Xie

arxiv:1312.6685 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{UTMPRDFUWDBZXZTH7COW5UNTWI}

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	2026-05-18T02:20:29.039155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d8f88cb4b0c39be667f89d6ed1b3b222fbd6ebb1ad5477eaad25652978615e

Aliases

arxiv: 1312.6685 · arxiv_version: 1312.6685v1 · doi: 10.48550/arxiv.1312.6685 · pith_short_12: UTMPRDFUWDBZ · pith_short_16: UTMPRDFUWDBZXZTH · pith_short_8: UTMPRDFU

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/UTMPRDFUWDBZXZTH7COW5UNTWI \
  | 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: a4d8f88cb4b0c39be667f89d6ed1b3b222fbd6ebb1ad5477eaad25652978615e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e6f23301e87536e9615af2522d361abac02433c8e426c4952e49833610a31e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-23T08:08:18Z",
    "title_canon_sha256": "8284739048491b52e52ec73cfc1f33adea32087f3d7ccb3d02a0da2ada2f21cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6685",
    "kind": "arxiv",
    "version": 1
  }
}