Pith Number

pith:MRRTD5IW

pith:2013:MRRTD5IWANXGCZRNLBDTVE4HZW

not attested not anchored not stored refs pending

Alcuin's Propositiones de Civitatibus: the Earliest Packing Problems

Nikolai Yu. Zolotykh

arxiv:1308.0892 v2 · 2013-08-05 · math.HO · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRRTD5IWANXGCZRNLBDTVE4HZW}

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	2026-05-18T00:27:10.341974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646331f516036e61662d58473a9387cd93a56bb4f380593eea07c127f8991898

Aliases

arxiv: 1308.0892 · arxiv_version: 1308.0892v2 · doi: 10.48550/arxiv.1308.0892 · pith_short_12: MRRTD5IWANXG · pith_short_16: MRRTD5IWANXGCZRN · pith_short_8: MRRTD5IW

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/MRRTD5IWANXGCZRNLBDTVE4HZW \
  | 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: 646331f516036e61662d58473a9387cd93a56bb4f380593eea07c127f8991898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2f7f63424971350788fd9498846b9481b99fb57044b211de6bc552c494ed56",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-08-05T05:51:35Z",
    "title_canon_sha256": "1fe1daf1773870e8658be53eff6e8c8d757c3722ecb0b4da80b813bad7a0f27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0892",
    "kind": "arxiv",
    "version": 2
  }
}