Pith Number

pith:77LBHZI5

pith:2009:77LBHZI5MQ6N2GFXIHMNCUOPDI

not attested not anchored not stored refs pending

A Note on the Middle Levels Conjecture

Kazuyuki Amano, Manabu Shimada

arxiv:0912.4564 v2 · 2009-12-23 · 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{77LBHZI5MQ6N2GFXIHMNCUOPDI}

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	2026-05-18T04:12:02.453607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd613e51d643cdd18b741d8d151cf1a01f4b08f4f6f0ae1ea7f96e9b1209742

Aliases

arxiv: 0912.4564 · arxiv_version: 0912.4564v2 · doi: 10.48550/arxiv.0912.4564 · pith_short_12: 77LBHZI5MQ6N · pith_short_16: 77LBHZI5MQ6N2GFX · pith_short_8: 77LBHZI5

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/77LBHZI5MQ6N2GFXIHMNCUOPDI \
  | 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: ffd613e51d643cdd18b741d8d151cf1a01f4b08f4f6f0ae1ea7f96e9b1209742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5df4febb542c6fe40e996944fc359884d32dd9f5b78347bdc1cd057f8f73e78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-12-23T05:42:23Z",
    "title_canon_sha256": "3692bc3c99fb75bb92450fc1b19d01a06c021b2d5b697199da653644d79b2f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4564",
    "kind": "arxiv",
    "version": 2
  }
}