Pith Number

pith:HMRAAH2Z

pith:2026:HMRAAH2ZLLKXIMXKIVDRHDDI4X

not attested not anchored not stored refs pending

A variable time-step, second-order, and MBP-preserving linear stabilized scheme for the time-fractional Allen-Cahn equation

Ao Zhang, Bingyin Zhang, Hongfei Fu

arxiv:2606.12799 v1 · 2026-06-11 · math.NA · cs.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{HMRAAH2ZLLKXIMXKIVDRHDDI4X}

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	2026-06-12T01:08:51.662972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b22001f595ad57432ea4547138c68e5f12d8cf92bac5b03cc262f5eccf1ead2

Aliases

arxiv: 2606.12799 · arxiv_version: 2606.12799v1 · doi: 10.48550/arxiv.2606.12799 · pith_short_12: HMRAAH2ZLLKX · pith_short_16: HMRAAH2ZLLKXIMXK · pith_short_8: HMRAAH2Z

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/HMRAAH2ZLLKXIMXKIVDRHDDI4X \
  | 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: 3b22001f595ad57432ea4547138c68e5f12d8cf92bac5b03cc262f5eccf1ead2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d596f4c1582e8da650f4f40b7306719499a77108297b5c7914b242d30111c0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-11T01:48:09Z",
    "title_canon_sha256": "d3841142b2f1f1ce499372ad6f6509f9bf64e71b286007618d052a76895e2230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12799",
    "kind": "arxiv",
    "version": 1
  }
}