Pith Number

pith:YDHZV2F4

pith:2016:YDHZV2F4FP3FY3DWBPCLA274ZC

not attested not anchored not stored refs pending

Bounds on the individual Betti numbers of complex varieties, stability and algorithms

Cordian Riener, Saugata Basu

arxiv:1606.04069 v3 · 2016-06-13 · math.AG · cs.CC · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDHZV2F4FP3FY3DWBPCLA274ZC}

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	2026-05-18T01:10:47.287706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cf9ae8bc2bf65c6c760bc4b06bfcc8ad08e2f76a1feb9002bb2c87f9ec2efc

Aliases

arxiv: 1606.04069 · arxiv_version: 1606.04069v3 · doi: 10.48550/arxiv.1606.04069 · pith_short_12: YDHZV2F4FP3F · pith_short_16: YDHZV2F4FP3FY3DW · pith_short_8: YDHZV2F4

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/YDHZV2F4FP3FY3DWBPCLA274ZC \
  | 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: c0cf9ae8bc2bf65c6c760bc4b06bfcc8ad08e2f76a1feb9002bb2c87f9ec2efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6cd79dcf0676a29311466970aed05c0cfd34f7c8f404a98cd9b0b728fe3fb2",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-13T19:06:45Z",
    "title_canon_sha256": "ff9612e1e9d1fbbab8e3047def3149f5cb205ab85098372a8c6ea362f21ace7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04069",
    "kind": "arxiv",
    "version": 3
  }
}