Pith Number

pith:YIOQSSE7

pith:2025:YIOQSSE7X47SB6YY6WRQWMYMKI

not attested not anchored not stored refs pending

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium

P. N. Vabishchevich

arxiv:2506.07111 v1 · 2025-06-08 · 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{YIOQSSE7X47SB6YY6WRQWMYMKI}

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	2026-07-05T11:18:01.467012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c21d09489fbf3f20fb18f5a30b330c521b12b958d953fd4dc1e6b7e27d5967fe

Aliases

arxiv: 2506.07111 · arxiv_version: 2506.07111v1 · doi: 10.48550/arxiv.2506.07111 · pith_short_12: YIOQSSE7X47S · pith_short_16: YIOQSSE7X47SB6YY · pith_short_8: YIOQSSE7

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/YIOQSSE7X47SB6YY6WRQWMYMKI \
  | 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: c21d09489fbf3f20fb18f5a30b330c521b12b958d953fd4dc1e6b7e27d5967fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9776e58ff0f95e8952d906ab5a6c49ae498a77ec9842eafb764f14b48185fa0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-08T12:43:59Z",
    "title_canon_sha256": "e07c4b45771abccc24123d6f62cb353864a3791b7e7a0ec759a03739f7941e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07111",
    "kind": "arxiv",
    "version": 1
  }
}