Pith Number

pith:ZYC63XKY

pith:2015:ZYC63XKYHFIAU5A4YFLP3G7B6Y

not attested not anchored not stored refs pending

$\mathcal{Q}$-closure spaces

Lili Shen

arxiv:1505.06460 v3 · 2015-05-24 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYC63XKYHFIAU5A4YFLP3G7B6Y}

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	2026-05-18T01:06:22.860059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce05eddd5839500a741cc156fd9be1f61460e1081591dfb8837c8ab54823159d

Aliases

arxiv: 1505.06460 · arxiv_version: 1505.06460v3 · doi: 10.48550/arxiv.1505.06460 · pith_short_12: ZYC63XKYHFIA · pith_short_16: ZYC63XKYHFIAU5A4 · pith_short_8: ZYC63XKY

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/ZYC63XKYHFIAU5A4YFLP3G7B6Y \
  | 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: ce05eddd5839500a741cc156fd9be1f61460e1081591dfb8837c8ab54823159d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4147f2e98550951830df9589ee93ac59f12295731be9bb312ab68ce9a3c60459",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-05-24T17:41:39Z",
    "title_canon_sha256": "ae6368d40883a8453ada414dfe871c5d8288ddeffb04264709402bc11751feb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06460",
    "kind": "arxiv",
    "version": 3
  }
}