Pith Number

pith:4JNJUNWS

pith:2011:4JNJUNWSHPVLKZJFP2Y6RFBOO4

not attested not anchored not stored refs pending

On $\gamma$-Semi-Continuous Functions

Sabir Hussain

arxiv:1103.3109 v1 · 2011-03-16 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JNJUNWSHPVLKZJFP2Y6RFBOO4}

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	2026-05-18T04:26:44.779764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25a9a36d23beab565257eb1e8942e77297267170815602d041141ccfbaf5f19

Aliases

arxiv: 1103.3109 · arxiv_version: 1103.3109v1 · doi: 10.48550/arxiv.1103.3109 · pith_short_12: 4JNJUNWSHPVL · pith_short_16: 4JNJUNWSHPVLKZJF · pith_short_8: 4JNJUNWS

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/4JNJUNWSHPVLKZJFP2Y6RFBOO4 \
  | 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: e25a9a36d23beab565257eb1e8942e77297267170815602d041141ccfbaf5f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965a9535c3843ce26ba4fff2df7c28383b9c7bb9e4bb5c05360e7eec112a4b8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-03-16T06:11:40Z",
    "title_canon_sha256": "ddff8ce65d94f7f7387c2256c99a751f36274942343db759f8f33f5571a3de0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3109",
    "kind": "arxiv",
    "version": 1
  }
}