Pith Number

pith:QWI4AEXI

pith:2013:QWI4AEXI73B32VAK4N4K6GYI3O

not attested not anchored not stored refs pending

Gray codes and Enumerative Coding for vector spaces

Moshe Schwartz

arxiv:1305.5765 v2 · 2013-05-24 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWI4AEXI73B32VAK4N4K6GYI3O}

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	2026-05-18T03:21:11.482795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8591c012e8fec3bd540ae378af1b08dbac45fe5fd81a4c03ee5ea305a1873ce9

Aliases

arxiv: 1305.5765 · arxiv_version: 1305.5765v2 · doi: 10.48550/arxiv.1305.5765 · pith_short_12: QWI4AEXI73B3 · pith_short_16: QWI4AEXI73B32VAK · pith_short_8: QWI4AEXI

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/QWI4AEXI73B32VAK4N4K6GYI3O \
  | 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: 8591c012e8fec3bd540ae378af1b08dbac45fe5fd81a4c03ee5ea305a1873ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e30e919da7c4ddebd2de5a2787ff92bb4f3d38aca3dee4ceb4d9e84208d452e",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-24T15:15:08Z",
    "title_canon_sha256": "4d0c1c181a92145b4fe1f3fcd577638da436e5768f8cdadd0a964833074018e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5765",
    "kind": "arxiv",
    "version": 2
  }
}