Pith Number

pith:QPXQHT2A

pith:2015:QPXQHT2AMGICP3AZIG76LHO5KV

not attested not anchored not stored refs pending

Topological stability of continuous functions with respect to averagings

Oksana Marunkevych, Sergiy Maksymenko

arxiv:1509.06064 v1 · 2015-09-20 · math.GN · math.GT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPXQHT2AMGICP3AZIG76LHO5KV}

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	2026-05-18T00:32:36.602027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ef03cf40619027ec1941bfe59ddd5571f902c26b082444e3e6240036d85f8e

Aliases

arxiv: 1509.06064 · arxiv_version: 1509.06064v1 · doi: 10.48550/arxiv.1509.06064 · pith_short_12: QPXQHT2AMGIC · pith_short_16: QPXQHT2AMGICP3AZ · pith_short_8: QPXQHT2A

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/QPXQHT2AMGICP3AZIG76LHO5KV \
  | 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: 83ef03cf40619027ec1941bfe59ddd5571f902c26b082444e3e6240036d85f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baec367c6376b7b96e06f510e7d41c64f0097d7851fbff06bd206a4b0a7e2a84",
    "cross_cats_sorted": [
      "math.GT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-09-20T22:14:56Z",
    "title_canon_sha256": "b96cb913725195875942f6acc36327ee46418ca768fad9e3564d9742e08d2ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06064",
    "kind": "arxiv",
    "version": 1
  }
}