Pith Number

pith:LWFGJC6H

pith:2017:LWFGJC6HU6SAB2RM2XR3AJZ4AE

not attested not anchored not stored refs pending

Alternation, Sparsity and Sensitivity : Bounds and Exponential Gaps

Jayalal Sarma, Krishnamoorthy Dinesh

arxiv:1712.05735 v2 · 2017-12-15 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWFGJC6HU6SAB2RM2XR3AJZ4AE}

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	2026-05-17T23:54:26.540715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8a648bc7a7a400ea2cd5e3b0273c0108bc3556f6b3c2e63e823e6b1c18d2ce

Aliases

arxiv: 1712.05735 · arxiv_version: 1712.05735v2 · doi: 10.48550/arxiv.1712.05735 · pith_short_12: LWFGJC6HU6SA · pith_short_16: LWFGJC6HU6SAB2RM · pith_short_8: LWFGJC6H

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/LWFGJC6HU6SAB2RM2XR3AJZ4AE \
  | 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: 5d8a648bc7a7a400ea2cd5e3b0273c0108bc3556f6b3c2e63e823e6b1c18d2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f584c411274b65e107309f6e46578bf23e11e6aebde8aad3cbd9dd2cbec62e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-12-15T16:27:26Z",
    "title_canon_sha256": "511f5e837ac41a9bc465a782d45e1b391b9e3ef753ce62631a8d7abb72fd1e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05735",
    "kind": "arxiv",
    "version": 2
  }
}