Pith Number

pith:M5FA6CKK

pith:2020:M5FA6CKK6KDSGEFVWD45NVLFYT

not attested not anchored not stored refs pending

Bounds for the multilevel construction

Sascha Kurz, Shuangqing Liu, Tao Feng

arxiv:2011.06937 v1 · 2020-11-13 · 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{M5FA6CKK6KDSGEFVWD45NVLFYT}

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	2026-07-05T01:51:26.256506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674a0f094af2872310b5b0f9d6d565c4c205cd72e20ca4d6fe2fe07ccfab6382

Aliases

arxiv: 2011.06937 · arxiv_version: 2011.06937v1 · doi: 10.48550/arxiv.2011.06937 · pith_short_12: M5FA6CKK6KDS · pith_short_16: M5FA6CKK6KDSGEFV · pith_short_8: M5FA6CKK

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/M5FA6CKK6KDSGEFVWD45NVLFYT \
  | 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: 674a0f094af2872310b5b0f9d6d565c4c205cd72e20ca4d6fe2fe07ccfab6382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c4062ae41d60578fcd86f6384949a16a0e399fdb381ad1c7669f107f85dfe1",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-11-13T14:30:40Z",
    "title_canon_sha256": "c45f74b8efc6b9108d24294dd6a5ccc8001c6f8dd51597ea4b103e5453ba031a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06937",
    "kind": "arxiv",
    "version": 1
  }
}