Pith Number

pith:EEIG5STT

pith:2015:EEIG5STTVS4F57YNKKG4XCIILF

not attested not anchored not stored refs pending

On the stability of the linear functional equation in a single variable on complete metric groups

Dorian Popa, Michael Th. Rassias, Soon-Mo Jung

arxiv:1512.04709 v1 · 2015-12-15 · 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{EEIG5STTVS4F57YNKKG4XCIILF}

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	2026-05-18T01:24:19.614990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21106eca73acb85eff0d528dcb890859681327c4dc6207fe3b4170ca997c815a

Aliases

arxiv: 1512.04709 · arxiv_version: 1512.04709v1 · doi: 10.48550/arxiv.1512.04709 · pith_short_12: EEIG5STTVS4F · pith_short_16: EEIG5STTVS4F57YN · pith_short_8: EEIG5STT

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/EEIG5STTVS4F57YNKKG4XCIILF \
  | 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: 21106eca73acb85eff0d528dcb890859681327c4dc6207fe3b4170ca997c815a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eae03716aa564a4e2ac3a6d2cefa5bb43760c22ae5c7b8f324cda60b2ee7755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-15T10:25:01Z",
    "title_canon_sha256": "9a210c895262c505a724ee3edf5b35494006216e80c568da410ee978388e6423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04709",
    "kind": "arxiv",
    "version": 1
  }
}