Pith Number

pith:D5BYZMYD

pith:2026:D5BYZMYDIFYQBQS3DX2AIWVCNI

not attested not anchored not stored refs pending

Almost optimal well-posedness for Chern--Simons gauged $O(3)$ sigma model under the Lorenz gauge

Huali Zhang, Jie Zhou

arxiv:2607.16792 v1 · 2026-07-18 · 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{D5BYZMYDIFYQBQS3DX2AIWVCNI}

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	2026-07-21T01:20:59.245425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f438cb303417100c25b1df4045aa26a2a4130289046fa1480eae05dbafb4ccc

Aliases

arxiv: 2607.16792 · arxiv_version: 2607.16792v1 · doi: 10.48550/arxiv.2607.16792 · pith_short_12: D5BYZMYDIFYQ · pith_short_16: D5BYZMYDIFYQBQS3 · pith_short_8: D5BYZMYD

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/D5BYZMYDIFYQBQS3DX2AIWVCNI \
  | 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: 1f438cb303417100c25b1df4045aa26a2a4130289046fa1480eae05dbafb4ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ba49c92cc20f5b6ec716a76d3b70e60efae964a5c082b499ec48952d9657b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-18T12:07:24Z",
    "title_canon_sha256": "de48164574e16646d3ddbbff3a0dee156f0301fc6b6841937fa50837fba40deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16792",
    "kind": "arxiv",
    "version": 1
  }
}