Pith Number

pith:CTB2UIAI

pith:2018:CTB2UIAILFVKX5DFHRNOPQOOHM

not attested not anchored not stored refs pending

Partial Function Extension with Applications to Learning and Property Testing

Gunjan Kumar, Umang Bhaskar

arxiv:1812.05821 v1 · 2018-12-14 · cs.DS · cs.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{CTB2UIAILFVKX5DFHRNOPQOOHM}

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	2026-05-17T23:58:18.070065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c3aa2008596aabf4653c5ae7c1ce3b33edd5035723f2c6229ef43e48d608ac

Aliases

arxiv: 1812.05821 · arxiv_version: 1812.05821v1 · doi: 10.48550/arxiv.1812.05821 · pith_short_12: CTB2UIAILFVK · pith_short_16: CTB2UIAILFVKX5DF · pith_short_8: CTB2UIAI

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/CTB2UIAILFVKX5DFHRNOPQOOHM \
  | 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: 14c3aa2008596aabf4653c5ae7c1ce3b33edd5035723f2c6229ef43e48d608ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e435fc171494071ad7d969e1406effcf38c504d4b782d343aba2c32af58ec58",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-12-14T08:26:47Z",
    "title_canon_sha256": "224afc6375928835054d85bbfc4d5fa142de556ed568f8aa635187661ade876f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05821",
    "kind": "arxiv",
    "version": 1
  }
}