Pith Number

pith:WZ2UFXPT

pith:2022:WZ2UFXPTGX24AY2ILRWSCJJB63

not attested not anchored not stored refs pending

The singular support of sheaves is $\gamma$-coisotropic

Claude Viterbo, St\'ephane Guillermou

arxiv:2203.12977 v2 · 2022-03-24 · math.SG · 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{WZ2UFXPTGX24AY2ILRWSCJJB63}

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	2026-07-05T06:50:51.431440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67542ddf335f5c063485c6d212521f6c43a2d6de7f3ff37f4b0ac00a99fa056

Aliases

arxiv: 2203.12977 · arxiv_version: 2203.12977v2 · doi: 10.48550/arxiv.2203.12977 · pith_short_12: WZ2UFXPTGX24 · pith_short_16: WZ2UFXPTGX24AY2I · pith_short_8: WZ2UFXPT

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/WZ2UFXPTGX24AY2ILRWSCJJB63 \
  | 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: b67542ddf335f5c063485c6d212521f6c43a2d6de7f3ff37f4b0ac00a99fa056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dddf2dd78b2de433285c66366d518228b359b163b5702357af29e90d57222fba",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-03-24T10:45:34Z",
    "title_canon_sha256": "2d0f8eba25b11825db496dd52c7476a461a8cceab23ecd592657bfa5777ec93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.12977",
    "kind": "arxiv",
    "version": 2
  }
}