Pith Number

pith:BVQDYCYN

pith:2026:BVQDYCYNVP4UGVWHZBFKANIUV6

not attested not anchored not stored refs pending

Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs

Chenyang An, Xiaoqian Xu

arxiv:2605.20623 v1 · 2026-05-20 · math.AP · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVQDYCYNVP4UGVWHZBFKANIUV6}

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	2026-05-21T01:04:45.386679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d603c0b0dabf94356c7c84aa03514afa8eceda5dd9171396dc88a0d6a73dbf7

Aliases

arxiv: 2605.20623 · arxiv_version: 2605.20623v1 · doi: 10.48550/arxiv.2605.20623 · pith_short_12: BVQDYCYNVP4U · pith_short_16: BVQDYCYNVP4UGVWH · pith_short_8: BVQDYCYN

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/BVQDYCYNVP4UGVWHZBFKANIUV6 \
  | 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: 0d603c0b0dabf94356c7c84aa03514afa8eceda5dd9171396dc88a0d6a73dbf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6f2477223f5e10edcbb99ea80b7d06cbc57d63b2d30ef439f941608e41ddf4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-20T02:15:29Z",
    "title_canon_sha256": "b54fd06f475226127eebf8c597778c0683718d8d005d62686a1c92b7f9c88750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20623",
    "kind": "arxiv",
    "version": 1
  }
}