Pith Number

pith:CWUJO5VQ

pith:2018:CWUJO5VQBS5HCR3VAJXRH5GVNJ

not attested not anchored not stored refs pending

On the Homology of the Space of Curves Immersed in The Sphere with Curvature Constrained to a Prescribed Interval

Cong Zhou

arxiv:1809.05612 v1 · 2018-09-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWUJO5VQBS5HCR3VAJXRH5GVNJ}

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	2026-05-18T00:05:40.512153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15a89776b00cba714775026f13f4d56a683e62830bef68af9b91f82964be9d7f

Aliases

arxiv: 1809.05612 · arxiv_version: 1809.05612v1 · doi: 10.48550/arxiv.1809.05612 · pith_short_12: CWUJO5VQBS5H · pith_short_16: CWUJO5VQBS5HCR3V · pith_short_8: CWUJO5VQ

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/CWUJO5VQBS5HCR3VAJXRH5GVNJ \
  | 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: 15a89776b00cba714775026f13f4d56a683e62830bef68af9b91f82964be9d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fef199f2a589e4446b4d2c1710c63d0938c26b8db3eb032c9dd116487316539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-14T23:07:49Z",
    "title_canon_sha256": "fe8d7f2c570d35adbdcda9b2045ac7c0e1e0f3d2dfaa66a5ddddef83de8c7b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05612",
    "kind": "arxiv",
    "version": 1
  }
}