Pith Number

pith:DSFNESWG

pith:2020:DSFNESWGL4EXSXC2Y6RQCW7YVA

not attested not anchored not stored refs pending

Lowest non-zero vanishing cohomology of holomorphic functions

Morihiko Saito

arxiv:2008.10529 v4 · 2020-08-24 · 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{DSFNESWGL4EXSXC2Y6RQCW7YVA}

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	2026-07-05T01:37:43.493478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c8ad24ac65f09795c5ac7a3015bf8a834d21c710f133bc7966acd08cef28511

Aliases

arxiv: 2008.10529 · arxiv_version: 2008.10529v4 · doi: 10.48550/arxiv.2008.10529 · pith_short_12: DSFNESWGL4EX · pith_short_16: DSFNESWGL4EXSXC2 · pith_short_8: DSFNESWG

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/DSFNESWGL4EXSXC2Y6RQCW7YVA \
  | 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: 1c8ad24ac65f09795c5ac7a3015bf8a834d21c710f133bc7966acd08cef28511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5da7e9e4a473353a77ccd8cbfb1a57e19ab362ec4d41822158eeb85587fb0dc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-08-24T16:06:25Z",
    "title_canon_sha256": "de1b46824e06af872540841e717fcbab98a1d57a49456f8324e15501b39940ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.10529",
    "kind": "arxiv",
    "version": 4
  }
}