Pith Number

pith:VGBDSCPG

pith:2016:VGBDSCPG4E6FJRARBLTH4PD6XG

not attested not anchored not stored refs pending

Normal vector of a random hyperplane

Hoi H. Nguyen, Van H. Vu

arxiv:1604.04897 v1 · 2016-04-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGBDSCPG4E6FJRARBLTH4PD6XG}

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	2026-05-18T01:16:56.410069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9823909e6e13c54c4110ae67e3c7eb98fa9a926d4c1cd0247329274571cc689

Aliases

arxiv: 1604.04897 · arxiv_version: 1604.04897v1 · doi: 10.48550/arxiv.1604.04897 · pith_short_12: VGBDSCPG4E6F · pith_short_16: VGBDSCPG4E6FJRAR · pith_short_8: VGBDSCPG

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/VGBDSCPG4E6FJRARBLTH4PD6XG \
  | 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: a9823909e6e13c54c4110ae67e3c7eb98fa9a926d4c1cd0247329274571cc689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ffcdfa9b6058554176cd2cb388d8f90abcf9fe2f75fd850dc211391dd89c23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-17T16:59:14Z",
    "title_canon_sha256": "93783a4ad59a36b462f5b142a9927cd3444f5bd7c85e3d5970f0d4960ec0ce89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04897",
    "kind": "arxiv",
    "version": 1
  }
}