Pith Number

pith:4OZ5I6TV

pith:2001:4OZ5I6TVQOLKYGAD4HTJ5E4ECY

not attested not anchored not stored refs pending

Viro theorem and topology of real and complex combinatorial hypersurfaces

Eugenii Shustin, Ilia Itenberg

arxiv:math/0105198 v2 · 2001-05-24 · math.AG · 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{4OZ5I6TVQOLKYGAD4HTJ5E4ECY}

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	2026-05-18T01:05:37.777026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b3d47a758396ac1803e1e69e9384162d9f31235cb3823d2686f2ab0d9f851d

Aliases

arxiv: math/0105198 · arxiv_version: math/0105198v2 · doi: 10.48550/arxiv.math/0105198 · pith_short_12: 4OZ5I6TVQOLK · pith_short_16: 4OZ5I6TVQOLKYGAD · pith_short_8: 4OZ5I6TV

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/4OZ5I6TVQOLKYGAD4HTJ5E4ECY \
  | 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: e3b3d47a758396ac1803e1e69e9384162d9f31235cb3823d2686f2ab0d9f851d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c188bee91b784bb3de2e59f3cdd4fd5f4eb8c5d354df7199df9d233ccf213fcf",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-05-24T15:20:13Z",
    "title_canon_sha256": "2fb577d7f5b4bbaca04a7b34b8677a2080e4b92148b8207fcd5972b1f5ca5914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105198",
    "kind": "arxiv",
    "version": 2
  }
}