Pith Number

pith:ZELGYFCH

pith:2018:ZELGYFCHD4DHXG45CHJ52QRKWS

not attested not anchored not stored refs pending

Connected components of the space of proper gradient vector fields

Maciej Starostka

arxiv:1809.01411 v1 · 2018-09-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZELGYFCHD4DHXG45CHJ52QRKWS}

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	2026-05-18T00:06:27.721751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9166c14471f067b9b9d11d3dd422ab4acbb6b3eedd759671e5438ce1496aa21

Aliases

arxiv: 1809.01411 · arxiv_version: 1809.01411v1 · doi: 10.48550/arxiv.1809.01411 · pith_short_12: ZELGYFCHD4DH · pith_short_16: ZELGYFCHD4DHXG45 · pith_short_8: ZELGYFCH

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/ZELGYFCHD4DHXG45CHJ52QRKWS \
  | 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: c9166c14471f067b9b9d11d3dd422ab4acbb6b3eedd759671e5438ce1496aa21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a54a05e49da27e139fc261eb2e8dfe72b4e7715b9cd8b05a0beb98717e004d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-05T09:47:16Z",
    "title_canon_sha256": "698fb1ee22873a157c4bbe4b9b436bde0bb7eee80bc095b9c573bd620cfca8cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01411",
    "kind": "arxiv",
    "version": 1
  }
}