Pith Number

pith:3KVTQ4LJ

pith:2021:3KVTQ4LJ6CUTWISVFGB55GE2JT

not attested not anchored not stored refs pending

Shallow sections of the hypercube

Lionel Pournin

arxiv:2104.08484 v1 · 2021-04-17 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KVTQ4LJ6CUTWISVFGB55GE2JT}

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	2026-07-05T06:39:28.525077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daab387169f0a93b22552983de989a4cdc0fa9a0cc38d27e0f41024c7b0f4131

Aliases

arxiv: 2104.08484 · arxiv_version: 2104.08484v1 · doi: 10.48550/arxiv.2104.08484 · pith_short_12: 3KVTQ4LJ6CUT · pith_short_16: 3KVTQ4LJ6CUTWISV · pith_short_8: 3KVTQ4LJ

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/3KVTQ4LJ6CUTWISVFGB55GE2JT \
  | 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: daab387169f0a93b22552983de989a4cdc0fa9a0cc38d27e0f41024c7b0f4131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7a73b94a4435901e980894d10d65cf8b732ad2296ef0d95b1fc02299a24b83",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-04-17T08:39:57Z",
    "title_canon_sha256": "0e2b8a5cc131462db00b86744a26a3d8eac7ae0376379cf68eed527f695e3170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08484",
    "kind": "arxiv",
    "version": 1
  }
}