Pith Number

pith:YXHLVTAG

pith:2017:YXHLVTAGWLBQIE4343VDLMAC5K

not attested not anchored not stored refs pending

Framelet perturbation and application to nouniform sampling approximation for Sobolev space

Deguang Han, Youfa Li

arxiv:1707.01325 v1 · 2017-07-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXHLVTAGWLBQIE4343VDLMAC5K}

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	2026-05-18T00:40:53.139744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5cebacc06b2c304139be6ea35b002eaa589a84814d883cb00cc784f462d4e3d

Aliases

arxiv: 1707.01325 · arxiv_version: 1707.01325v1 · doi: 10.48550/arxiv.1707.01325 · pith_short_12: YXHLVTAGWLBQ · pith_short_16: YXHLVTAGWLBQIE43 · pith_short_8: YXHLVTAG

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/YXHLVTAGWLBQIE4343VDLMAC5K \
  | 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: c5cebacc06b2c304139be6ea35b002eaa589a84814d883cb00cc784f462d4e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23e4bbbb7e1973afd0d69436c6ce463e7ab263e3dac0296f2ef49df58d1eb3af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-05T11:26:49Z",
    "title_canon_sha256": "9ac67821a805faa6ffc53770232a8aed64914a2e0d91f35ec4a4eafa195fe219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01325",
    "kind": "arxiv",
    "version": 1
  }
}