Pith Number

pith:5FK2ZXN6

pith:2018:5FK2ZXN6FINBYEKBDE4PRMKYFR

not attested not anchored not stored refs pending

Asymptotics of the gradient of solutions to the perfect conductivity problem

Haigang Li, Yanyan Li, Zhuolun Yang

arxiv:1811.03468 v2 · 2018-11-08 · 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{5FK2ZXN6FINBYEKBDE4PRMKYFR}

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	2026-05-17T23:49:27.441253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e955acddbe2a1a1c11411938f8b1582c7dd9cfdc3b1de8b45e42098fe00c0be2

Aliases

arxiv: 1811.03468 · arxiv_version: 1811.03468v2 · doi: 10.48550/arxiv.1811.03468 · pith_short_12: 5FK2ZXN6FINB · pith_short_16: 5FK2ZXN6FINBYEKB · pith_short_8: 5FK2ZXN6

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/5FK2ZXN6FINBYEKBDE4PRMKYFR \
  | 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: e955acddbe2a1a1c11411938f8b1582c7dd9cfdc3b1de8b45e42098fe00c0be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f921192f4c84a04ef2bc27c31fd4ca3f2989777706decf2d325d0df7a85eb8fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-08T14:47:47Z",
    "title_canon_sha256": "4ded053d1acaa49771f39305e82d0b4ddc5fd9c581ffb82c02e6bf8a4d2fec47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03468",
    "kind": "arxiv",
    "version": 2
  }
}