Pith Number

pith:GSDIJDGX

pith:2017:GSDIJDGXCSBFT6VC7MUFCBHWSY

not attested not anchored not stored refs pending

Asymptotic Expansions of Fundamental Solutions in Parabolic Homogenization

Jun Geng, Zhongwei Shen

arxiv:1711.10638 v1 · 2017-11-29 · 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{GSDIJDGXCSBFT6VC7MUFCBHWSY}

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	2026-05-18T00:29:17.463879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3486848cd7148259faa2fb285104f69621dea796d4d104368f0613f990267c6c

Aliases

arxiv: 1711.10638 · arxiv_version: 1711.10638v1 · doi: 10.48550/arxiv.1711.10638 · pith_short_12: GSDIJDGXCSBF · pith_short_16: GSDIJDGXCSBFT6VC · pith_short_8: GSDIJDGX

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/GSDIJDGXCSBFT6VC7MUFCBHWSY \
  | 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: 3486848cd7148259faa2fb285104f69621dea796d4d104368f0613f990267c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02a292214ac0c9becca4b9eb9a4094fd04e9a1c7da8f7c763b5cf909c5330d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-29T01:24:51Z",
    "title_canon_sha256": "7a92fa3201e3af89c782e9deb2889ef2fc1c70d2cac4741a2285da8a33b3129d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10638",
    "kind": "arxiv",
    "version": 1
  }
}