Pith Number

pith:4SGO7TLM

pith:2016:4SGO7TLM5AGZK2ZC42XDUYKFVH

not attested not anchored not stored refs pending

Sobriety of quantale-valued cotopological spaces

Dexue Zhang

arxiv:1612.06032 v2 · 2016-12-19 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SGO7TLM5AGZK2ZC42XDUYKFVH}

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	2026-05-18T00:45:30.142788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48cefcd6ce80d956b22e6ae3a6145a9d594611b714901b8ffb0e6100eec7a0e

Aliases

arxiv: 1612.06032 · arxiv_version: 1612.06032v2 · doi: 10.48550/arxiv.1612.06032 · pith_short_12: 4SGO7TLM5AGZ · pith_short_16: 4SGO7TLM5AGZK2ZC · pith_short_8: 4SGO7TLM

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/4SGO7TLM5AGZK2ZC42XDUYKFVH \
  | 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: e48cefcd6ce80d956b22e6ae3a6145a9d594611b714901b8ffb0e6100eec7a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c74ebf3b987eaf29e59d439c7140abc1a5d9e994bee82683190d885d68aa6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-12-19T03:04:20Z",
    "title_canon_sha256": "4120b32f8712efef6ad99aecff9ebff27ada79c87928fe0290651c1279cd7ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06032",
    "kind": "arxiv",
    "version": 2
  }
}