Pith Number

pith:Y332GRJL

pith:2026:Y332GRJL4YIW442TCWPDVO6CM3

not attested not anchored not stored refs pending

Quantitative Homogenization of a Cahn--Hilliard System with Source Term in Periodically Perforated Domains

Amartya Chakrabortty

arxiv:2606.29618 v1 · 2026-06-28 · 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{Y332GRJL4YIW442TCWPDVO6CM3}

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	2026-06-30T01:18:19.682302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f7a3452be6116e7353159e3abbc266fb8351fd5203b35c0990f1af8084659c

Aliases

arxiv: 2606.29618 · arxiv_version: 2606.29618v1 · doi: 10.48550/arxiv.2606.29618 · pith_short_12: Y332GRJL4YIW · pith_short_16: Y332GRJL4YIW442T · pith_short_8: Y332GRJL

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/Y332GRJL4YIW442TCWPDVO6CM3 \
  | 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: c6f7a3452be6116e7353159e3abbc266fb8351fd5203b35c0990f1af8084659c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aacea6e7befc8a415f31b0bde48498b07ff0d515c7c5c284873aed925a2a2ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-28T21:50:02Z",
    "title_canon_sha256": "7325f7ed3b0aa466dbe15a6eb91a18b5a199a7c236af41ea877973a15050b8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29618",
    "kind": "arxiv",
    "version": 1
  }
}