Pith Number

pith:N3OIZN24

pith:2019:N3OIZN24X4LR6WVD7TF6YEYPTN

not attested not anchored not stored refs pending

Vanishing cycles under base change and the integral Hodge conjecture

Mingmin Shen

arxiv:1901.07091 v1 · 2019-01-21 · 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{N3OIZN24X4LR6WVD7TF6YEYPTN}

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	2026-05-17T23:55:48.185918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6edc8cb75cbf171f5aa3fccbec130f9b6d88b3f51f1bc1204715abaa693f6b7f

Aliases

arxiv: 1901.07091 · arxiv_version: 1901.07091v1 · doi: 10.48550/arxiv.1901.07091 · pith_short_12: N3OIZN24X4LR · pith_short_16: N3OIZN24X4LR6WVD · pith_short_8: N3OIZN24

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/N3OIZN24X4LR6WVD7TF6YEYPTN \
  | 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: 6edc8cb75cbf171f5aa3fccbec130f9b6d88b3f51f1bc1204715abaa693f6b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5055a6338b9d47f332bcdb3c91f2420cbaecf2fc2ab43241ce2832d83e185de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-21T21:45:09Z",
    "title_canon_sha256": "5f363b86db0ed2e5c47dd6c44fc93279507636a498827542aa96e9ea6aff6ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07091",
    "kind": "arxiv",
    "version": 1
  }
}