Pith Number

pith:QWTTPN3S

pith:2017:QWTTPN3SJBJQ3SXW5NLHADUV4V

not attested not anchored not stored refs pending

Spectrum degeneracy for functions on branching lines and impact on extrapolation and sampling

Nikolai Dokuchaev

arxiv:1705.06181 v3 · 2017-05-17 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWTTPN3SJBJQ3SXW5NLHADUV4V}

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.

Cited by

1 paper in Pith

Extrapolation and sampling for processes on spatial graphs

Receipt and verification

First computed	2026-05-18T00:02:45.765904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a737b77248530dcaf6eb56700e95e5470dc700cb4466f7a1dc201739a119f7

Aliases

arxiv: 1705.06181 · arxiv_version: 1705.06181v3 · doi: 10.48550/arxiv.1705.06181 · pith_short_12: QWTTPN3SJBJQ · pith_short_16: QWTTPN3SJBJQ3SXW · pith_short_8: QWTTPN3S

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/QWTTPN3SJBJQ3SXW5NLHADUV4V \
  | 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: 85a737b77248530dcaf6eb56700e95e5470dc700cb4466f7a1dc201739a119f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6055f238f8be4e84b5bedfb128129d88cf6dc40ce5ac09c19d1945f9f9c1b0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-05-17T14:39:32Z",
    "title_canon_sha256": "6d781885750e73f0e30c266750e5d0a2c4d764ada8d98cec2c28e5d19ea63a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06181",
    "kind": "arxiv",
    "version": 3
  }
}