Pith Number

pith:3F3S3IMD

pith:2026:3F3S3IMDXU4GZI33CZMDZBFIVI

not attested not anchored not stored refs pending

An Infinitesimal Circular Morera Theorem

Ao Xiao, Qiteng Guo

arxiv:2608.04540 v1 · 2026-08-05 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F3S3IMDXU4GZI33CZMDZBFIVI}

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	2026-08-06T01:35:48.180144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9772da183bd386ca37b16583c84a8aa23d0c2aab34911d9d4e5d12f246dc5ab

Aliases

arxiv: 2608.04540 · arxiv_version: 2608.04540v1 · doi: 10.48550/arxiv.2608.04540 · pith_short_12: 3F3S3IMDXU4G · pith_short_16: 3F3S3IMDXU4GZI33 · pith_short_8: 3F3S3IMD

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/3F3S3IMDXU4GZI33CZMDZBFIVI \
  | 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: d9772da183bd386ca37b16583c84a8aa23d0c2aab34911d9d4e5d12f246dc5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904d2b89f7d788b55b4f6cad203e6c96cfb97bccf8656a9821adb77cb8d523b4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-08-05T07:16:34Z",
    "title_canon_sha256": "3e1cf092bf91afb3c6ad0e2653671948a74981e53a767742e58e587a92f4e34a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04540",
    "kind": "arxiv",
    "version": 1
  }
}