Pith Number

pith:OVJ3M6Q5

pith:2019:OVJ3M6Q5VIFSCRR7XEFD252TY4

not attested not anchored not stored refs pending

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture

Hao Huang

arxiv:1907.00847 v2 · 2019-07-01 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVJ3M6Q5VIFSCRR7XEFD252TY4}

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.

Cited by

1 paper in Pith

Open problems in the spectral theory of signed graphs

Receipt and verification

First computed	2026-07-05T00:00:34.972909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7553b67a1daa0b21463fb90a3d7753c728bc412660c4f2bd5511ce2b0dee428d

Aliases

arxiv: 1907.00847 · arxiv_version: 1907.00847v2 · doi: 10.48550/arxiv.1907.00847 · pith_short_12: OVJ3M6Q5VIFS · pith_short_16: OVJ3M6Q5VIFSCRR7 · pith_short_8: OVJ3M6Q5

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/OVJ3M6Q5VIFSCRR7XEFD252TY4 \
  | 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: 7553b67a1daa0b21463fb90a3d7753c728bc412660c4f2bd5511ce2b0dee428d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f163cea215deeb3c387b61404235933b4ecf819472be840bfd04c7b58c05ef09",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-01T15:14:42Z",
    "title_canon_sha256": "1fa922b4c8fb63cd79e4e3f830852e8bceb2eac04f6897c165ab97b6032fc664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00847",
    "kind": "arxiv",
    "version": 2
  }
}