Pith Number

pith:R3VMUPFB

pith:2023:R3VMUPFBRMIDZCJP6AGSPOQXOC

not attested not anchored not stored refs pending

A stacky approach to identifying the semistable locus of bundles

Dario Weissmann, Xucheng Zhang

arxiv:2302.09245 v3 · 2023-02-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3VMUPFBRMIDZCJP6AGSPOQXOC}

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	2026-07-05T10:32:22.863917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eeaca3ca18b103c892ff00d27ba1770ae4d2b594a5ad8e3daf8e7075baec899

Aliases

arxiv: 2302.09245 · arxiv_version: 2302.09245v3 · doi: 10.48550/arxiv.2302.09245 · pith_short_12: R3VMUPFBRMID · pith_short_16: R3VMUPFBRMIDZCJP · pith_short_8: R3VMUPFB

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/R3VMUPFBRMIDZCJP6AGSPOQXOC \
  | 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: 8eeaca3ca18b103c892ff00d27ba1770ae4d2b594a5ad8e3daf8e7075baec899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3437efb36c46496d49de43707415f7f09f1ea31270f6629e2b0e637f00704c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-02-18T06:13:20Z",
    "title_canon_sha256": "fe6e6ff21c40f264a2487d1344d46386ca39fcc5757d10994f2a696418e7be2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.09245",
    "kind": "arxiv",
    "version": 3
  }
}