Pith Number

pith:AW3AP6VK

pith:2026:AW3AP6VKUB2GSDOEL7EL6ASIXR

not attested not anchored not stored refs pending

Homogenization of a non-homogeneous incompressible heat-conducting fluid in perforated domains

Jiaojiao Pan, Luqi Wang, Yong Lu

arxiv:2607.11036 v1 · 2026-07-13 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AW3AP6VKUB2GSDOEL7EL6ASIXR}

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	2026-07-14T01:22:12.780382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b607faaaa074690dc45fc8bf0248bc45378f7c9b66794e14d6354f320f29f6

Aliases

arxiv: 2607.11036 · arxiv_version: 2607.11036v1 · doi: 10.48550/arxiv.2607.11036 · pith_short_12: AW3AP6VKUB2G · pith_short_16: AW3AP6VKUB2GSDOE · pith_short_8: AW3AP6VK

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/AW3AP6VKUB2GSDOEL7EL6ASIXR \
  | 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: 05b607faaaa074690dc45fc8bf0248bc45378f7c9b66794e14d6354f320f29f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25314788cb495c7a262160211d7ac0c1c5150a654a2020627238e1f9e9cffce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-13T03:00:52Z",
    "title_canon_sha256": "c4531f4f0defea4b3587579373708998b5a637f55f261d8764748d1a061ab98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11036",
    "kind": "arxiv",
    "version": 1
  }
}