Pith Number

pith:DXEXJ2F4

pith:2010:DXEXJ2F4YCHEIKJLWQOFGAUJXA

not attested not anchored not stored refs pending

Reverse Khas'minskii condition

Daniele Valtorta

arxiv:1005.2401 v5 · 2010-05-13 · 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{DXEXJ2F4YCHEIKJLWQOFGAUJXA}

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	2026-05-18T03:48:34.533665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc974e8bcc08e44292bb41c530289b809419219b0d28fdbd7ce2548f840ec4e

Aliases

arxiv: 1005.2401 · arxiv_version: 1005.2401v5 · doi: 10.48550/arxiv.1005.2401 · pith_short_12: DXEXJ2F4YCHE · pith_short_16: DXEXJ2F4YCHEIKJL · pith_short_8: DXEXJ2F4

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/DXEXJ2F4YCHEIKJLWQOFGAUJXA \
  | 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: 1dc974e8bcc08e44292bb41c530289b809419219b0d28fdbd7ce2548f840ec4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f35b270f5aaf3ae6777484c69b4c87f5b5a3eac4e17a30fd6452c10259bffc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-13T19:43:25Z",
    "title_canon_sha256": "90e8ab22160fc1960ecf562e3d351cb02a3788e4665e45cb7183fb15fd9850bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2401",
    "kind": "arxiv",
    "version": 5
  }
}