Pith Number

pith:E4CAQ4XP

pith:2013:E4CAQ4XP5IIPG6EDP7KXWDFGUF

not attested not anchored not stored refs pending

The capture time of the hypercube

Anthony Bonato, P. Gordinowicz, P. Pralat, William B. Kinnersley

arxiv:1308.3354 v1 · 2013-08-15 · math.CO · 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{E4CAQ4XP5IIPG6EDP7KXWDFGUF}

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	2026-05-18T03:15:54.904298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27040872efea10f378837fd57b0ca6a14dbcfbab2a63b1ffb551a70b84a36f73

Aliases

arxiv: 1308.3354 · arxiv_version: 1308.3354v1 · doi: 10.48550/arxiv.1308.3354 · pith_short_12: E4CAQ4XP5IIP · pith_short_16: E4CAQ4XP5IIPG6ED · pith_short_8: E4CAQ4XP

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/E4CAQ4XP5IIPG6EDP7KXWDFGUF \
  | 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: 27040872efea10f378837fd57b0ca6a14dbcfbab2a63b1ffb551a70b84a36f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2647822e3fe0874ddbd0042fcee3561eee5e2d724a32d40ad843a462dac007ac",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-15T10:50:51Z",
    "title_canon_sha256": "1e661fedf3986b4bba745108636cf7c359484e9b1015cbe4ae2c729f2ef41ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3354",
    "kind": "arxiv",
    "version": 1
  }
}