Pith Number

pith:SNDQGX6H

pith:2018:SNDQGX6HTLP7YMVHBSCOYUF6IN

not attested not anchored not stored refs pending

On the minimal sum of Betti numbers of an almost complex manifold

Aleksandar Milivojevic, Michael Albanese

arxiv:1805.04751 v2 · 2018-05-12 · math.AT · 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{SNDQGX6HTLP7YMVHBSCOYUF6IN}

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	2026-05-18T00:01:43.470960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9347035fc79adffc32a70c84ec50be43652cddec702a32e6ec2ae8f0073bde29

Aliases

arxiv: 1805.04751 · arxiv_version: 1805.04751v2 · doi: 10.48550/arxiv.1805.04751 · pith_short_12: SNDQGX6HTLP7 · pith_short_16: SNDQGX6HTLP7YMVH · pith_short_8: SNDQGX6H

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/SNDQGX6HTLP7YMVHBSCOYUF6IN \
  | 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: 9347035fc79adffc32a70c84ec50be43652cddec702a32e6ec2ae8f0073bde29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fff4ecd6e6c5560cfa31db76cbe822083daf85c916c604bdbeecfbd6578410a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-05-12T17:03:29Z",
    "title_canon_sha256": "dbf06405154d0bcc1f27d6ec7308fd27de41cde81a3a2ac5748374e027d75c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04751",
    "kind": "arxiv",
    "version": 2
  }
}