Pith Number

pith:NFNEP27O

pith:2018:NFNEP27OFH4L6EBYMEQJAJP4LF

not attested not anchored not stored refs pending

The Zero Number Diminishing Property under General Boundary Conditions

Bendong Lou

arxiv:1809.00309 v2 · 2018-09-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFNEP27OFH4L6EBYMEQJAJP4LF}

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	2026-05-17T23:39:32.225640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695a47ebee29f8bf103861209025fc5958847a27a7f7b1a27b234cd4a4892b2d

Aliases

arxiv: 1809.00309 · arxiv_version: 1809.00309v2 · doi: 10.48550/arxiv.1809.00309 · pith_short_12: NFNEP27OFH4L · pith_short_16: NFNEP27OFH4L6EBY · pith_short_8: NFNEP27O

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/NFNEP27OFH4L6EBYMEQJAJP4LF \
  | 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: 695a47ebee29f8bf103861209025fc5958847a27a7f7b1a27b234cd4a4892b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0954763061ef0b43921af01d196a02cbce931b7d152180b6363ae15a9ff3f2bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-02T08:05:27Z",
    "title_canon_sha256": "fd2b9a59c71aa12e2f802f024299572cb3402210761f3060902c0616004f8e03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00309",
    "kind": "arxiv",
    "version": 2
  }
}