Pith Number

pith:LH5T3UFP

pith:2016:LH5T3UFPQ3IJ5K2ZUMUMHOSMXP

not attested not anchored not stored refs pending

Characterizations of Sobolev Functions that vanish on a part of the boundary

Moritz Egert (LM-Orsay), Patrick Tolksdorf

arxiv:1609.05749 v1 · 2016-09-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LH5T3UFPQ3IJ5K2ZUMUMHOSMXP}

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	2026-05-18T01:04:25.411543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59fb3dd0af86d09eab59a328c3ba4cbbd06ab55b513c125b419dbdabe5b972b9

Aliases

arxiv: 1609.05749 · arxiv_version: 1609.05749v1 · doi: 10.48550/arxiv.1609.05749 · pith_short_12: LH5T3UFPQ3IJ · pith_short_16: LH5T3UFPQ3IJ5K2Z · pith_short_8: LH5T3UFP

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/LH5T3UFPQ3IJ5K2ZUMUMHOSMXP \
  | 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: 59fb3dd0af86d09eab59a328c3ba4cbbd06ab55b513c125b419dbdabe5b972b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5e7b10d9020ed6a931b47312620bf778754b7971dde394ebb17bb0c0f3991d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-19T14:42:11Z",
    "title_canon_sha256": "d9aa83ff4f475247dbdffdc5bdfda53db4a82a0c31a7de8415c1a4366f0a7165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05749",
    "kind": "arxiv",
    "version": 1
  }
}