Pith Number

pith:ERLO4FJU

pith:2018:ERLO4FJUG52VREEMKCDW7UMIEW

not attested not anchored not stored refs pending

Flat ideals in the unit interval with the canonical fuzzy order

Dexue Zhang, Gao Zhang, Hongliang Lai

arxiv:1801.06060 v1 · 2018-01-16 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERLO4FJUG52VREEMKCDW7UMIEW}

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	2026-05-18T00:25:35.676580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2456ee1534377558908c50876fd18825ba6f09a19b3f40e75f40381374eccdb5

Aliases

arxiv: 1801.06060 · arxiv_version: 1801.06060v1 · doi: 10.48550/arxiv.1801.06060 · pith_short_12: ERLO4FJUG52V · pith_short_16: ERLO4FJUG52VREEM · pith_short_8: ERLO4FJU

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/ERLO4FJUG52VREEMKCDW7UMIEW \
  | 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: 2456ee1534377558908c50876fd18825ba6f09a19b3f40e75f40381374eccdb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6fe6d7f697e695bd94901dc95630e707cf3e29bee669fe49be7d71e7fc3726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-01-16T13:32:15Z",
    "title_canon_sha256": "67e0f5a15d0e07de257317e592ccb8cd4af47da33df3089a56c83c6598fb2639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06060",
    "kind": "arxiv",
    "version": 1
  }
}