Pith Number

pith:ZT5SDXOZ

pith:2026:ZT5SDXOZZI3M5K23IQTYCC3SXS

not attested not anchored not stored refs pending

Analytic Bertini theorem II --- The local case

Mingchen Xia

arxiv:2607.25230 v1 · 2026-07-28 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT5SDXOZZI3M5K23IQTYCC3SXS}

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	2026-07-29T00:25:09.757011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfb21ddd9ca36ceab5b4427810b72bc812a26969acc56f34eab5a3aa8a66b31

Aliases

arxiv: 2607.25230 · arxiv_version: 2607.25230v1 · doi: 10.48550/arxiv.2607.25230 · pith_short_12: ZT5SDXOZZI3M · pith_short_16: ZT5SDXOZZI3M5K23 · pith_short_8: ZT5SDXOZ

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/ZT5SDXOZZI3M5K23IQTYCC3SXS \
  | 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: ccfb21ddd9ca36ceab5b4427810b72bc812a26969acc56f34eab5a3aa8a66b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e5d8fc3c9a3810ee3b6095ded4822888d8894cb4006f73a51d07963b830946",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-28T03:17:14Z",
    "title_canon_sha256": "e2de8d0ada21c1bd41edfb71c735559b54fb1c88500a0dec14ec580613bc67f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25230",
    "kind": "arxiv",
    "version": 1
  }
}