Pith Number

pith:OGN5MTV5

pith:2026:OGN5MTV5XSHXLASJBDUGY7WM7V

not attested not anchored not stored refs pending

Quantitative Unique Continuation on Simplex and $\mathbb{Z}^n$

Shihe Liu, Yunfeng Shi, Zhifei Zhang

arxiv:2608.11602 v1 · 2026-08-12 · math.AP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGN5MTV5XSHXLASJBDUGY7WM7V}

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	2026-08-13T00:22:17.319246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719bd64ebdbc8f75824908e86c7eccfd7b571ba18cb418274d3c185dfc2e790c

Aliases

arxiv: 2608.11602 · arxiv_version: 2608.11602v1 · doi: 10.48550/arxiv.2608.11602 · pith_short_12: OGN5MTV5XSHX · pith_short_16: OGN5MTV5XSHXLASJ · pith_short_8: OGN5MTV5

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/OGN5MTV5XSHXLASJBDUGY7WM7V \
  | 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: 719bd64ebdbc8f75824908e86c7eccfd7b571ba18cb418274d3c185dfc2e790c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94265c9976c3c6734b25cdce45f0d5dc579dbb0d52617433c6e49921083048c5",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-12T03:21:27Z",
    "title_canon_sha256": "7f171def590df046996654ae286be96c54090892c3f017f238202a1fe453fada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11602",
    "kind": "arxiv",
    "version": 1
  }
}